100572032 has 32 divisors (see below), whose sum is σ = 218575800. Its totient is φ = 45713920.

The previous prime is 100572019. The next prime is 100572041. The reversal of 100572032 is 230275001.

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

It is a super-2 number, since 2×100572032² = 20229467241218048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100571995 and 100572013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34307 + ... + 37122.

Almost surely, 2^100572032 is an apocalyptic number.

It is an amenable number.

100572032 is an abundant number, since it is smaller than the sum of its proper divisors (118003768).

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

100572032 is an equidigital number, since it uses as much as digits as its factorization.

100572032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71454 (or 71442 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 100572032 is about 10028.5608139952. The cubic root of 100572032 is about 465.0422469035.

It can be divided in two parts, 1005 and 72032, that added together give a palindrome (73037).

The spelling of 100572032 in words is "one hundred million, five hundred seventy-two thousand, thirty-two".