100938064 has 40 divisors (see below), whose sum is σ = 201862080. Its totient is φ = 48864000.

The previous prime is 100938059. The next prime is 100938083. The reversal of 100938064 is 460839001.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98547 + ... + 99565.

It is an arithmetic number, because the mean of its divisors is an integer number (5046552).

Almost surely, 2^100938064 is an apocalyptic number.

It is an amenable number.

100938064 is a deficient number, since it is larger than the sum of its proper divisors (100924016).

100938064 is a wasteful number, since it uses less digits than its factorization.

100938064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1219 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 100938064 is about 10046.7937174006. The cubic root of 100938064 is about 465.6057377375.

The spelling of 100938064 in words is "one hundred million, nine hundred thirty-eight thousand, sixty-four".