107187164 has 12 divisors (see below), whose sum is σ = 214374384. Its totient is φ = 45937344.

The previous prime is 107187139. The next prime is 107187191. The reversal of 107187164 is 461781701.

107187164 is an admirable number.

It is a super-2 number, since 2×107187164² = 22978176252725792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1914029 + ... + 1914084.

It is an arithmetic number, because the mean of its divisors is an integer number (17864532).

Almost surely, 2^107187164 is an apocalyptic number.

107187164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107187164 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

107187164 is a wasteful number, since it uses less digits than its factorization.

107187164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828124 (or 3828122 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 35.

The square root of 107187164 is about 10353.1233934499. The cubic root of 107187164 is about 475.0225865529.

The spelling of 107187164 in words is "one hundred seven million, one hundred eighty-seven thousand, one hundred sixty-four".