100918521 has 32 divisors (see below), whose sum is σ = 168739200. Its totient is φ = 59048640.

The previous prime is 100918487. The next prime is 100918523. The reversal of 100918521 is 125819001.

It is not a de Polignac number, because 100918521 - 2²² = 96724217 is a prime.

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 (100918523) 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, 2755 + ... + 14471.

It is an arithmetic number, because the mean of its divisors is an integer number (5273100).

Almost surely, 2^100918521 is an apocalyptic number.

100918521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100918521 is a deficient number, since it is larger than the sum of its proper divisors (67820679).

100918521 is a wasteful number, since it uses less digits than its factorization.

100918521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11766 (or 11760 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 100918521 is about 10045.8210714705. The cubic root of 100918521 is about 465.5756865692.

The spelling of 100918521 in words is "one hundred million, nine hundred eighteen thousand, five hundred twenty-one".