107628807 has 32 divisors (see below), whose sum is σ = 174053376. Its totient is φ = 58262400.

The previous prime is 107628797. The next prime is 107628841. The reversal of 107628807 is 708826701.

It is not a de Polignac number, because 107628807 - 2²⁴ = 90851591 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107628847) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9253 + ... + 17345.

It is an arithmetic number, because the mean of its divisors is an integer number (5439168).

Almost surely, 2^107628807 is an apocalyptic number.

107628807 is a deficient number, since it is larger than the sum of its proper divisors (66424569).

107628807 is a wasteful number, since it uses less digits than its factorization.

107628807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8151.

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 107628807 is about 10374.4304421978. The cubic root of 107628807 is about 475.6741040082.

The spelling of 107628807 in words is "one hundred seven million, six hundred twenty-eight thousand, eight hundred seven".