100

"Hundred" redirects here. For other uses, see 100 (disambiguation) and Hundred (disambiguation).

← 99 100 101 →
← 100 101 102 103 104 105 106 107 108 109 → List of numbers Integers ← 0 100 200 300 400 500 600 700 800 900 →
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.

In mathematics

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 centum meaning "by the 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]}

It is the 10th star number ^[15] (whose digit sum also adds to 10 in decimal).

In history

• In medieval contexts, it may be described as the short hundred or five score in order to differentiate the English and Germanic use of "hundred" to describe the long hundred ^[16] of six score or 120.

In money

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

The U.S. hundred-dollar bill has Benjamin Franklin's portrait; the "Benjamin" is the largest U.S. bill in print.

In other fields

One hundred is also:

• The HTTP status code indicating that the client should continue with its request.

See also

• Mathematics portal

• 1 vs. 100
• AFI's 100 Years...
• Hundred (county division)
• Hundred (word)
• Hundred Days
• Hundred Years' War
• List of highways numbered 100
• Top 100
• Greatest 100

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.). "SequenceA003154". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation. Retrieved 2023-09-02.
16. see Duodecimal § Origin

• Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 133

External links

• Chisholm, Hugh, ed. (1911). "Hundred"  . Encyclopædia Britannica (11th ed.). Cambridge University Press.
• "On the Number 100". WisdomPortal.com.