100524672 has 256 divisors, whose sum is σ = 330480000. Its totient is φ = 29933568.

The previous prime is 100524647. The next prime is 100524679. The reversal of 100524672 is 276425001.

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

It is not an unprimeable number, because it can be changed into a prime (100524679) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1703779 + ... + 1703837.

Almost surely, 2^100524672 is an apocalyptic number.

100524672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100524672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165240000).

100524672 is an abundant number, since it is smaller than the sum of its proper divisors (229955328).

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

100524672 is a wasteful number, since it uses less digits than its factorization.

100524672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 100524672 is about 10026.1992798867. The cubic root of 100524672 is about 464.9692383396.

Adding to 100524672 its reverse (276425001), we get a palindrome (376949673).

The spelling of 100524672 in words is "one hundred million, five hundred twenty-four thousand, six hundred seventy-two".