100657072 has 20 divisors (see below), whose sum is σ = 197696920. Its totient is φ = 49638528.

The previous prime is 100657061. The next prime is 100657087. The reversal of 100657072 is 270756001.

It is a super-2 number, since 2×100657072² = 20263692287226368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100657072.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41922 + ... + 44257.

It is an arithmetic number, because the mean of its divisors is an integer number (9884846).

Almost surely, 2^100657072 is an apocalyptic number.

It is an amenable number.

100657072 is a deficient number, since it is larger than the sum of its proper divisors (97039848).

100657072 is an equidigital number, since it uses as much as digits as its factorization.

100657072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86260 (or 86254 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 100657072 is about 10032.7998086277. The cubic root of 100657072 is about 465.1732841663.

The spelling of 100657072 in words is "one hundred million, six hundred fifty-seven thousand, seventy-two".