100828325 has 24 divisors (see below), whose sum is σ = 135408000. Its totient is φ = 74036160.

The previous prime is 100828283. The next prime is 100828333. The reversal of 100828325 is 523828001.

It is not a de Polignac number, because 100828325 - 2²⁴ = 84051109 is a prime.

It is a super-2 number, since 2×100828325² = 20332702244611250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63896 + ... + 65454.

It is an arithmetic number, because the mean of its divisors is an integer number (5642000).

Almost surely, 2^100828325 is an apocalyptic number.

It is an amenable number.

100828325 is a deficient number, since it is larger than the sum of its proper divisors (34579675).

100828325 is a wasteful number, since it uses less digits than its factorization.

100828325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 100828325 is about 10041.3308380911. The cubic root of 100828325 is about 465.4369423596.

The spelling of 100828325 in words is "one hundred million, eight hundred twenty-eight thousand, three hundred twenty-five".