100507072 has 28 divisors (see below), whose sum is σ = 204313536. Its totient is φ = 49026560.

The previous prime is 100507067. The next prime is 100507073. The reversal of 100507072 is 270705001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100507073) 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, 16528 + ... + 21775.

It is an arithmetic number, because the mean of its divisors is an integer number (7296912).

Almost surely, 2^100507072 is an apocalyptic number.

It is an amenable number.

100507072 is an abundant number, since it is smaller than the sum of its proper divisors (103806464).

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

100507072 is an equidigital number, since it uses as much as digits as its factorization.

100507072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38356 (or 38346 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 22.

The square root of 100507072 is about 10025.3215409781. The cubic root of 100507072 is about 464.9421009346.

The spelling of 100507072 in words is "one hundred million, five hundred seven thousand, seventy-two".