103 (number)

Not to be confused with 103 AD or 103 BC.

103 (one hundred [and] three) is the natural number following 102 and preceding 104.

← 102 103 104 →
← 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 three
Ordinal	103rd (one hundred third)
Factorization	prime
Prime	27th
Greek numeral	ΡΓ´
Roman numeral	CIII, ciii
Binary	11001112
Ternary	102113
Senary	2516
Octal	1478
Duodecimal	8712
Hexadecimal	6716

In mathematics

103 is a prime number, and the largest prime factor of ${\displaystyle 6!+1=721=7\cdot 103}$.^[1] The previous prime is 101. This makes 103 a twin prime.^[2] It is the fifth irregular prime,^[3] because it divides the numerator of the Bernoulli number $${\displaystyle B_{24}=-{\frac {236364091}{2730}}=-{\frac {103\cdot 2294797}{2730}}.}$$

The equation ${\displaystyle 64^{3}+94^{3}=103^{3}+1}$ makes 103 part of a "Fermat near miss".^[4]

There are 103 different connected series-parallel partial orders on exactly six unlabeled elements.^[5]

103 is conjectured to be the smallest number for which repeatedly reversing the digits of its ternary representation, and adding the number to its reversal, does not eventually reach a ternary palindrome.^[6]