100955264 has 32 divisors (see below), whose sum is σ = 208064700. Its totient is φ = 48735232.

The previous prime is 100955237. The next prime is 100955269. The reversal of 100955264 is 462559001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 100801600 + 153664 = 10040^2 + 392^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 100955264.

It is not an unprimeable number, because it can be changed into a prime (100955269) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9887 + ... + 17310.

Almost surely, 2^100955264 is an apocalyptic number.

It is an amenable number.

100955264 is an abundant number, since it is smaller than the sum of its proper divisors (107109436).

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

100955264 is an equidigital number, since it uses as much as digits as its factorization.

100955264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27240 (or 27228 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 100955264 is about 10047.6496754216. The cubic root of 100955264 is about 465.6321828779.

The spelling of 100955264 in words is "one hundred million, nine hundred fifty-five thousand, two hundred sixty-four".