107166864 has 40 divisors (see below), whose sum is σ = 316398400. Its totient is φ = 30619008.

The previous prime is 107166863. The next prime is 107166869. The reversal of 107166864 is 468661701.

It is a happy number.

It is a super-2 number, since 2×107166864² = 22969473479188992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107166863) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159139 + ... + 159810.

It is an arithmetic number, because the mean of its divisors is an integer number (7909960).

Almost surely, 2^107166864 is an apocalyptic number.

107166864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107166864 is an abundant number, since it is smaller than the sum of its proper divisors (209231536).

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

107166864 is a wasteful number, since it uses less digits than its factorization.

107166864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318967 (or 318961 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 107166864 is about 10352.1429665553. The cubic root of 107166864 is about 474.9925967452.

The spelling of 107166864 in words is "one hundred seven million, one hundred sixty-six thousand, eight hundred sixty-four".