100905264 has 140 divisors (see below), whose sum is σ = 301694232. Its totient is φ = 32659200.

The previous prime is 100905247. The next prime is 100905293. The reversal of 100905264 is 462509001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 478119 + ... + 478329.

Almost surely, 2^100905264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100905264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150847116).

100905264 is an abundant number, since it is smaller than the sum of its proper divisors (200788968).

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

100905264 is an equidigital number, since it uses as much as digits as its factorization.

100905264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 100905264 is about 10045.1612231960. The cubic root of 100905264 is about 465.5552991414. Note that the first 3 decimals are identical.

The spelling of 100905264 in words is "one hundred million, nine hundred five thousand, two hundred sixty-four".