100807164 has 72 divisors (see below), whose sum is σ = 267671040. Its totient is φ = 31946400.

The previous prime is 100807117. The next prime is 100807169. The reversal of 100807164 is 461708001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100807169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65079 + ... + 66609.

Almost surely, 2^100807164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100807164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133835520).

100807164 is an abundant number, since it is smaller than the sum of its proper divisors (166863876).

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

100807164 is a wasteful number, since it uses less digits than its factorization.

100807164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 100807164 is about 10040.2770878099. The cubic root of 100807164 is about 465.4043794191.

The spelling of 100807164 in words is "one hundred million, eight hundred seven thousand, one hundred sixty-four".