100907920 has 40 divisors (see below), whose sum is σ = 248414904. Its totient is φ = 37988352.

The previous prime is 100907909. The next prime is 100907941. The reversal of 100907920 is 29709001.

It can be written as a sum of positive squares in 4 ways, for example, as 1227664 + 99680256 = 1108^2 + 9984^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35739 + ... + 38458.

Almost surely, 2^100907920 is an apocalyptic number.

100907920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100907920 is an abundant number, since it is smaller than the sum of its proper divisors (147506984).

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

100907920 is a wasteful number, since it uses less digits than its factorization.

100907920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74227 (or 74221 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 28.

The square root of 100907920 is about 10045.2934252813. The cubic root of 100907920 is about 465.5593838442.

The spelling of 100907920 in words is "one hundred million, nine hundred seven thousand, nine hundred twenty".