100875164 has 24 divisors (see below), whose sum is σ = 192003168. Its totient is φ = 46094400.

The previous prime is 100875163. The next prime is 100875197. The reversal of 100875164 is 461578001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100875164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100875163) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 4352 + ... + 14855.

It is an arithmetic number, because the mean of its divisors is an integer number (8000132).

Almost surely, 2^100875164 is an apocalyptic number.

It is an amenable number.

100875164 is a deficient number, since it is larger than the sum of its proper divisors (91128004).

100875164 is a wasteful number, since it uses less digits than its factorization.

100875164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19325 (or 19323 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 100875164 is about 10043.6628776557. The cubic root of 100875164 is about 465.5090028844.

It can be divided in two parts, 10087 and 5164, that added together give a palindrome (15251).

The spelling of 100875164 in words is "one hundred million, eight hundred seventy-five thousand, one hundred sixty-four".