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100 = 2252
BaseRepresentation
bin1100100
310201
41210
5400
6244
7202
oct144
9121
10100
1191
1284
1379
1472
156a
hex64

100 has 9 divisors (see below), whose sum is σ = 217. Its totient is φ = 40.

The previous prime is 97. The next prime is 101. The reversal of 100 is 1.

100 = T5 + T6 + ... + T8.

100 = 13 + 23 + ... + 43.

It is a happy number.

The square root of 100 is 10.

It is a perfect power (a square), and thus also a powerful number.

100 is nontrivially palindromic in base 3, base 7 and base 9.

100 is an esthetic number in base 4 and base 9, because in such bases its adjacent digits differ by 1.

It can be written as a sum of positive squares in only one way, i.e., 36 + 64 = 6^2 + 8^2 .

It is a Harshad number since it is a multiple of its sum of digits (1).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a Leyland number of the form 62 + 26.

It is a Duffinian number.

100 is an undulating number in base 7 and base 9.

It is a plaindrome in base 6, base 8, base 13 and base 15.

It is a nialpdrome in base 5, base 10, base 11, base 12, base 14 and base 16.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 18 + ... + 22.

100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100 is the 10-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100

100 is an abundant number, since it is smaller than the sum of its proper divisors (117).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100 is a wasteful number, since it uses less digits than its factorization.

100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 1.

The cubic root of 100 is about 4.6415888336.

The spelling of 100 in words is "one hundred", and thus it is an aban number and an iban number.

Divisors: 1 2 4 5 10 20 25 50 100