100572528 has 80 divisors (see below), whose sum is σ = 303877376. Its totient is φ = 28062720.

The previous prime is 100572509. The next prime is 100572533. The reversal of 100572528 is 825275001.

It is a super-2 number, since 2×100572528² = 20229666776621568, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100572495 and 100572504.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 10968 + ... + 17928.

Almost surely, 2^100572528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100572528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151938688).

100572528 is an abundant number, since it is smaller than the sum of its proper divisors (203304848).

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

100572528 is a wasteful number, since it uses less digits than its factorization.

100572528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7022 (or 7016 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 100572528 is about 10028.5855433356. The cubic root of 100572528 is about 465.0430113989.

The spelling of 100572528 in words is "one hundred million, five hundred seventy-two thousand, five hundred twenty-eight".