100972528 has 20 divisors (see below), whose sum is σ = 197574408. Its totient is φ = 49985600.

The previous prime is 100972453. The next prime is 100972561. The reversal of 100972528 is 825279001.

It is a junction number, because it is equal to n+sod(n) for n = 100972493 and 100972502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29626 + ... + 32857.

Almost surely, 2^100972528 is an apocalyptic number.

It is an amenable number.

100972528 is a deficient number, since it is larger than the sum of its proper divisors (96601880).

100972528 is a wasteful number, since it uses less digits than its factorization.

100972528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62592 (or 62586 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 100972528 is about 10048.5087450825. The cubic root of 100972528 is about 465.6587233987.

It can be divided in two parts, 1009 and 72528, that added together give a palindrome (73537).

The spelling of 100972528 in words is "one hundred million, nine hundred seventy-two thousand, five hundred twenty-eight".