100083864 has 32 divisors (see below), whose sum is σ = 252645120. Its totient is φ = 33036576.

The previous prime is 100083847. The next prime is 100083899. The reversal of 100083864 is 468380001.

It is a happy number.

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, 17772 + ... + 22715.

It is an arithmetic number, because the mean of its divisors is an integer number (7895160).

Almost surely, 2^100083864 is an apocalyptic number.

It is an amenable number.

100083864 is an abundant number, since it is smaller than the sum of its proper divisors (152561256).

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

100083864 is a wasteful number, since it uses less digits than its factorization.

100083864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40599 (or 40595 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 100083864 is about 10004.1923212221. The cubic root of 100083864 is about 464.2886011745.

The spelling of 100083864 in words is "one hundred million, eighty-three thousand, eight hundred sixty-four".