107642916 has 72 divisors (see below), whose sum is σ = 281508864. Its totient is φ = 34655040.

The previous prime is 107642911. The next prime is 107642933. The reversal of 107642916 is 619246701.

107642916 is a `hidden beast` number, since 1 + 0 + 7 + 642 + 9 + 1 + 6 = 666.

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 (107642911) 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, 280861 + ... + 281243.

Almost surely, 2^107642916 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 107642916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140754432).

107642916 is an abundant number, since it is smaller than the sum of its proper divisors (173865948).

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

107642916 is a wasteful number, since it uses less digits than its factorization.

107642916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 107642916 is about 10375.1104090511. The cubic root of 107642916 is about 475.6948883840.

The spelling of 107642916 in words is "one hundred seven million, six hundred forty-two thousand, nine hundred sixteen".