100096864 has 96 divisors (see below), whose sum is σ = 245548800. Its totient is φ = 39191040.

The previous prime is 100096853. The next prime is 100096873. The reversal of 100096864 is 468690001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123019 + ... + 123829.

It is an arithmetic number, because the mean of its divisors is an integer number (2557800).

Almost surely, 2^100096864 is an apocalyptic number.

100096864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100096864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122774400).

100096864 is an abundant number, since it is smaller than the sum of its proper divisors (145451936).

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

100096864 is a wasteful number, since it uses less digits than its factorization.

100096864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 100096864 is about 10004.8420277384. The cubic root of 100096864 is about 464.3087026183.

The spelling of 100096864 in words is "one hundred million, ninety-six thousand, eight hundred sixty-four".