100

Last updated
99 100 101
Cardinal one hundred
Ordinal 100th
(one hundredth)
Factorization 22 × 52
Divisors 1, 2, 4, 5, 10, 20, 25, 50, 100
Greek numeral Ρ´
Roman numeral C, c
Binary 11001002
Ternary 102013
Senary 2446
Octal 1448
Duodecimal 8412
Hexadecimal 6416
Greek numeral ρ
Arabic ١٠٠
Bengali ১০০
Chinese numeral 佰,百
Devanagari १००
Hebrew ק
Khmer ១០០
Armenian Ճ
Tamil ௱, க௦௦
Thai ๑๐๐
Egyptian hieroglyph 𓍢
Babylonian cuneiform 𒐕𒐏

100 or one hundred (Roman numeral: C) [1] is the natural number following 99 and preceding 101.

Contents

In mathematics

100 as the sum of the first positive cubes. Cube-sum-100.png
100 as the sum of the first positive cubes.

100 is the square of 10 (in scientific notation it is written as 102). The standard SI prefix for a hundred is "hecto-".

100 is the basis of percentages (per cent meaning "per hundred" in Latin), with 100% being a full amount.

100 is a Harshad number in decimal, and also in base-four, a base in-which it is also a self-descriptive number. [2] [3]

100 is the sum of the first nine prime numbers, from 2 through 23. [4] It is also divisible by the number of primes below it, 25. [5]

100 cannot be expressed as the difference between any integer and the total of coprimes below it, making it a noncototient. [6]

100 has a reduced totient of 20, and an Euler totient of 40. [7] [8] A totient value of 100 is obtained from four numbers: 101, 125, 202, and 250.

100 can be expressed as a sum of some of its divisors, making it a semiperfect number. [9] The geometric mean of its nine divisors is 10.

100 is the sum of the cubes of the first four positive integers (100 = 13 + 23 + 33 + 43). [10] This is related by Nicomachus's theorem to the fact that 100 also equals the square of the sum of the first four positive integers: 100 = 102 = (1 + 2 + 3 + 4)2. [11]

100 = 26 + 62, thus 100 is the seventh Leyland number. [12] 100 is also the seventeenth Erdős–Woods number, and the fourth 18-gonal number. [13] [14]

The 100th prime number is 541, which returns for the Mertens function. [15] It is the 10th star number [16] (whose digit sum also adds to 10 in decimal).

There are exactly 100 prime numbers in base-ten whose digits are in strictly ascending order (e.g. 239, 2357 etc.). [17] The last such prime number is 23456789, which contains eight consecutive integers as digits.

In science

One hundred is the atomic number of fermium, an actinide and the last of the heavy metals that can be created through neutron bombardment.

On the Celsius scale, 100 degrees is the boiling temperature of pure water at sea level.

The Kármán line lies at an altitude of 100 kilometres above the Earth's sea level and is commonly used to define the boundary between Earth's atmosphere and outer space.

In history

In religion

In politics

In money

Hundred rupee note India Hundred rupee note India.jpg
Hundred rupee note India

Most of the world's currencies are divided into 100 subunits; for example, one euro is one hundred cents and one pound sterling is one hundred pence.

By specification, 100 euro notes feature a picture of a Rococo gateway on the obverse and a Baroque bridge on the reverse.

The U.S. hundred-dollar bill, Series 2009 New100front.jpg
The U.S. hundred-dollar bill, Series 2009

The U.S. hundred-dollar bill has Benjamin Franklin's portrait; the "Benjamin" is the largest U.S. bill in print. American savings bonds of $100 have Thomas Jefferson's portrait, while American $100 treasury bonds have Andrew Jackson's portrait.

In sports

In other fields

One hundred is also:

See also

Related Research Articles

10 (ten) is the even natural number following 9 and preceding 11. Ten is the base of the decimal numeral system, the most common system of denoting numbers in both spoken and written language.

222 is the natural number following 221 and preceding 223.

90 (ninety) is the natural number following 89 and preceding 91.

36 (thirty-six) is the natural number following 35 and preceding 37.

48 (forty-eight) is the natural number following 47 and preceding 49. It is one third of a gross, or four dozens.

300 is the natural number following 299 and preceding 301.

<span class="mw-page-title-main">360 (number)</span> Natural number

360 is the natural number following 359 and preceding 361.

400 is the natural number following 399 and preceding 401.

144 is the natural number following 143 and preceding 145.

500 is the natural number following 499 and preceding 501.

555 is the natural number following 554 and preceding 556.

700 is the natural number following 699 and preceding 701.

600 is the natural number following 599 and preceding 601.

800 is the natural number following 799 and preceding 801.

2000 is a natural number following 1999 and preceding 2001.

135 is the natural number following 134 and preceding 136.

168 is the natural number following 167 and preceding 169.

240 is the natural number following 239 and preceding 241.

744 is the natural number following 743 and preceding 745.

888 is the natural number following 887 and preceding 889.

References

  1. Reinforced by but not originally derived from Latin centum.
  2. "Sloane's A005349 : Niven (or Harshad) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  3. Sloane, N. J. A. (ed.). "SequenceA108551(Self-descriptive numbers in various bases represented in base 10)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-12-08.
  4. Sloane, N. J. A. (ed.). "SequenceA007504(Sum of the first n primes.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  5. Sloane, N. J. A. (ed.). "SequenceA057809(Numbers n such that pi(n) divides n.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  6. Sloane, N. J. A. (ed.). "SequenceA005278(Noncototients)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-12-08.
  7. Sloane, N. J. A. (ed.). "SequenceA002322(Reduced totient function)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-12-08.
  8. Sloane, N. J. A. (ed.). "SequenceA000010(Euler totient function)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  9. Sloane, N. J. A. (ed.). "SequenceA005835(Pseudoperfect (or semiperfect) numbers n)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-12-08.
  10. Sloane, N. J. A. (ed.). "SequenceA025403(Numbers that are the sum of 4 positive cubes in exactly 1 way.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-12-08.
  11. Sloane, N. J. A. (ed.). "SequenceA000537(Sum of first n cubes; or n-th triangular number squared)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  12. "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  13. Sloane, N. J. A. (ed.). "SequenceA059756(Erdős-Woods numbers: the length of an interval of consecutive integers with property that every element has a factor in common with one of the endpoints)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-11-30.
  14. "Sloane's A051870 : 18-gonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  15. Sloane, N. J. A. (ed.). "SequenceA028442(Numbers k such that Mertens's function M(k) (A002321) is zero.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2023-09-02.
  16. Sloane, N. J. A. (ed.). "SequenceA003154". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2023-09-02.
  17. Sloane, N. J. A. (ed.). "SequenceA052015(Primes with distinct digits in ascending order.)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2022-11-05.
  18. see Duodecimal § Origin
  19. Insights, September 28, 2011.
  20. Leo Rosten, The Joys of Yiddish (1968), page 52.
  21. Grasso, John (2013), Historical Dictionary of Football, Scarecrow Press, p. 133, ISBN   9780810878570 .
  22. "Basketball Legend Chamberlain Dies at 63". www.washingtonpost.com. Retrieved 2023-08-07.