100395875 has 16 divisors (see below), whose sum is σ = 127427040. Its totient is φ = 78949600.

The previous prime is 100395871. The next prime is 100395877. The reversal of 100395875 is 578593001.

It is not a de Polignac number, because 100395875 - 2² = 100395871 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100395871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 569 + ... + 14181.

It is an arithmetic number, because the mean of its divisors is an integer number (7964190).

Almost surely, 2^100395875 is an apocalyptic number.

100395875 is a deficient number, since it is larger than the sum of its proper divisors (27031165).

100395875 is an equidigital number, since it uses as much as digits as its factorization.

100395875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13687 (or 13677 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The square root of 100395875 is about 10019.7741990526. The cubic root of 100395875 is about 464.7705732207.

The spelling of 100395875 in words is "one hundred million, three hundred ninety-five thousand, eight hundred seventy-five".