100928064 has 84 divisors (see below), whose sum is σ = 276435312. Its totient is φ = 32497920.

The previous prime is 100928021. The next prime is 100928077. The reversal of 100928064 is 460829001.

It is a super-3 number, since 3×100928064³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184239 + ... + 184785.

Almost surely, 2^100928064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100928064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138217656).

100928064 is an abundant number, since it is smaller than the sum of its proper divisors (175507248).

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

100928064 is an equidigital number, since it uses as much as digits as its factorization.

100928064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 100928064 is about 10046.2960338624. The cubic root of 100928064 is about 465.5903612747.

The spelling of 100928064 in words is "one hundred million, nine hundred twenty-eight thousand, sixty-four".