107728164 has 48 divisors (see below), whose sum is σ = 286854400. Its totient is φ = 34937568.

The previous prime is 107728163. The next prime is 107728177. The reversal of 107728164 is 461827701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (107728163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9484 + ... + 17475.

Almost surely, 2^107728164 is an apocalyptic number.

It is an amenable number.

107728164 is an abundant number, since it is smaller than the sum of its proper divisors (179126236).

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

107728164 is a wasteful number, since it uses less digits than its factorization.

107728164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27009 (or 27001 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 107728164 is about 10379.2178896100. The cubic root of 107728164 is about 475.8204310547.

It can be divided in two parts, 1077 and 28164, that added together give a square (29241 = 171²).

The spelling of 107728164 in words is "one hundred seven million, seven hundred twenty-eight thousand, one hundred sixty-four".