100983864 has 32 divisors (see below), whose sum is σ = 260605440. Its totient is φ = 32575200.

The previous prime is 100983851. The next prime is 100983881. The reversal of 100983864 is 468389001.

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, 67122 + ... + 68609.

It is an arithmetic number, because the mean of its divisors is an integer number (8143920).

Almost surely, 2^100983864 is an apocalyptic number.

It is an amenable number.

100983864 is an abundant number, since it is smaller than the sum of its proper divisors (159621576).

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

100983864 is a wasteful number, since it uses less digits than its factorization.

100983864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135771 (or 135767 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 100983864 is about 10049.0727930491. The cubic root of 100983864 is about 465.6761489627.

The spelling of 100983864 in words is "one hundred million, nine hundred eighty-three thousand, eight hundred sixty-four".