100928416 has 24 divisors (see below), whose sum is σ = 207343584. Its totient is φ = 48269760.

The previous prime is 100928407. The next prime is 100928423. The reversal of 100928416 is 614829001.

It is a happy number.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 67830 + ... + 69301.

It is an arithmetic number, because the mean of its divisors is an integer number (8639316).

Almost surely, 2^100928416 is an apocalyptic number.

100928416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100928416 is an abundant number, since it is smaller than the sum of its proper divisors (106415168).

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

100928416 is a wasteful number, since it uses less digits than its factorization.

100928416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137164 (or 137156 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 100928416 is about 10046.3135527416. The cubic root of 100928416 is about 465.5909025434.

The spelling of 100928416 in words is "one hundred million, nine hundred twenty-eight thousand, four hundred sixteen".