107665628 has 48 divisors (see below), whose sum is σ = 227673600. Its totient is φ = 43519680.

The previous prime is 107665627. The next prime is 107665633. The reversal of 107665628 is 826566701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107665627) 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, 233318 + ... + 233778.

It is an arithmetic number, because the mean of its divisors is an integer number (4743200).

Almost surely, 2^107665628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107665628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113836800).

107665628 is an abundant number, since it is smaller than the sum of its proper divisors (120007972).

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

107665628 is a wasteful number, since it uses less digits than its factorization.

107665628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 107665628 is about 10376.2048938906. The cubic root of 107665628 is about 475.7283422731.

The spelling of 107665628 in words is "one hundred seven million, six hundred sixty-five thousand, six hundred twenty-eight".