100993988 has 24 divisors (see below), whose sum is σ = 182309400. Its totient is φ = 48922880.

The previous prime is 100993973. The next prime is 100993993. The reversal of 100993988 is 889399001.

It can be written as a sum of positive squares in 4 ways, for example, as 31684 + 100962304 = 178^2 + 10048^2 .

It is a super-2 number, since 2×100993988² = 20399571224288288, which contains 22 as substring.

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, 22370 + ... + 26502.

It is an arithmetic number, because the mean of its divisors is an integer number (7596225).

Almost surely, 2^100993988 is an apocalyptic number.

It is an amenable number.

100993988 is a deficient number, since it is larger than the sum of its proper divisors (81315412).

100993988 is a wasteful number, since it uses less digits than its factorization.

100993988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4327 (or 4325 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 47.

The square root of 100993988 is about 10049.5765084903. The cubic root of 100993988 is about 465.6917103524.

The spelling of 100993988 in words is "one hundred million, nine hundred ninety-three thousand, nine hundred eighty-eight".