100891825 has 12 divisors (see below), whose sum is σ = 129142528. Its totient is φ = 78109200.

The previous prime is 100891801. The next prime is 100891837. The reversal of 100891825 is 528198001.

It is not a de Polignac number, because 100891825 - 2⁵ = 100891793 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64317 + ... + 65866.

Almost surely, 2^100891825 is an apocalyptic number.

It is an amenable number.

100891825 is a deficient number, since it is larger than the sum of its proper divisors (28250703).

100891825 is a wasteful number, since it uses less digits than its factorization.

100891825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130224 (or 130219 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 100891825 is about 10044.4922718871. The cubic root of 100891825 is about 465.5346300002.

The spelling of 100891825 in words is "one hundred million, eight hundred ninety-one thousand, eight hundred twenty-five".