100625328 has 70 divisors (see below), whose sum is σ = 292342524. Its totient is φ = 33537888.

The previous prime is 100625309. The next prime is 100625333. The reversal of 100625328 is 823526001.

100625328 is a `hidden beast` number, since 1 + 0 + 0 + 625 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 7351 + ... + 15977.

Almost surely, 2^100625328 is an apocalyptic number.

100625328 is a gapful number since it is divisible by the number (18) 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 100625328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146171262).

100625328 is an abundant number, since it is smaller than the sum of its proper divisors (191717196).

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

100625328 is an frugal number, since it uses more digits than its factorization.

100625328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8653 (or 8632 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 100625328 is about 10031.2176728451. The cubic root of 100625328 is about 465.1243787988.

The spelling of 100625328 in words is "one hundred million, six hundred twenty-five thousand, three hundred twenty-eight".