100525572 has 72 divisors (see below), whose sum is σ = 297192896. Its totient is φ = 28050624.

The previous prime is 100525567. The next prime is 100525583. The reversal of 100525572 is 275525001.

It is a happy number.

100525572 is a `hidden beast` number, since 100 + 5 + 2 + 557 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6198 + ... + 15474.

Almost surely, 2^100525572 is an apocalyptic number.

100525572 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 100525572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148596448).

100525572 is an abundant number, since it is smaller than the sum of its proper divisors (196667324).

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

100525572 is a wasteful number, since it uses less digits than its factorization.

100525572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9337 (or 9332 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 100525572 is about 10026.2441621975. The cubic root of 100525572 is about 464.9706259627.

The spelling of 100525572 in words is "one hundred million, five hundred twenty-five thousand, five hundred seventy-two".