107288164 has 9 divisors (see below), whose sum is σ = 187790547. Its totient is φ = 53633724.

The previous prime is 107288161. The next prime is 107288177. The reversal of 107288164 is 461882701.

The square root of 107288164 is 10358.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107288161) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 18127 + ... + 23305.

Almost surely, 2^107288164 is an apocalyptic number.

107288164 is the 10358-th square number.

It is an amenable number.

107288164 is a deficient number, since it is larger than the sum of its proper divisors (80502383).

107288164 is an frugal number, since it uses more digits than its factorization.

107288164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10362 (or 5181 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The cubic root of 107288164 is about 475.1717406682.

The spelling of 107288164 in words is "one hundred seven million, two hundred eighty-eight thousand, one hundred sixty-four".