100015164 has 36 divisors (see below), whose sum is σ = 266124040. Its totient is φ = 31583520.

The previous prime is 100015159. The next prime is 100015169. The reversal of 100015164 is 461510001.

It is an interprime number because it is at equal distance from previous prime (100015159) and next prime (100015169).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100015169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72427 + ... + 73794.

Almost surely, 2^100015164 is an apocalyptic number.

It is an amenable number.

100015164 is an abundant number, since it is smaller than the sum of its proper divisors (166108876).

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

100015164 is a wasteful number, since it uses less digits than its factorization.

100015164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146250 (or 146245 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 100015164 is about 10000.7581712588. The cubic root of 100015164 is about 464.1823438598.

Adding to 100015164 its reverse (461510001), we get a palindrome (561525165).

The spelling of 100015164 in words is "one hundred million, fifteen thousand, one hundred sixty-four".