107728317 has 24 divisors (see below), whose sum is σ = 162259968. Its totient is φ = 68796000.

The previous prime is 107728261. The next prime is 107728319. The reversal of 107728317 is 713827701.

It is a happy number.

It is not a de Polignac number, because 107728317 - 2¹⁰ = 107727293 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107728319) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26268 + ... + 30090.

It is an arithmetic number, because the mean of its divisors is an integer number (6760832).

Almost surely, 2^107728317 is an apocalyptic number.

It is an amenable number.

107728317 is a deficient number, since it is larger than the sum of its proper divisors (54531651).

107728317 is a wasteful number, since it uses less digits than its factorization.

107728317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3961 (or 3958 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 36.

The square root of 107728317 is about 10379.2252601049. The cubic root of 107728317 is about 475.8206563145.

The spelling of 107728317 in words is "one hundred seven million, seven hundred twenty-eight thousand, three hundred seventeen".