100525500432 has 120 divisors (see below), whose sum is σ = 321966642816. Its totient is φ = 28681855488.

The previous prime is 100525500391. The next prime is 100525500457. The reversal of 100525500432 is 234005525001.

It is a happy number.

100525500432 is a `hidden beast` number, since 100 + 5 + 2 + 550 + 0 + 4 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 100525500396 and 100525500405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 664228 + ... + 801404.

Almost surely, 2^100525500432 is an apocalyptic number.

100525500432 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 100525500432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160983321408).

100525500432 is an abundant number, since it is smaller than the sum of its proper divisors (221441142384).

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

100525500432 is a wasteful number, since it uses less digits than its factorization.

100525500432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137925 (or 137916 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 100525500432 in words is "one hundred billion, five hundred twenty-five million, five hundred thousand, four hundred thirty-two".