107372664 has 96 divisors (see below), whose sum is σ = 334638720. Its totient is φ = 30466368.

The previous prime is 107372653. The next prime is 107372669. The reversal of 107372664 is 466273701.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107372669) 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, 81499 + ... + 82805.

It is an arithmetic number, because the mean of its divisors is an integer number (3485820).

Almost surely, 2^107372664 is an apocalyptic number.

107372664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107372664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167319360).

107372664 is an abundant number, since it is smaller than the sum of its proper divisors (227266056).

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

107372664 is a wasteful number, since it uses less digits than its factorization.

107372664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1482 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 107372664 is about 10362.0781699426. The cubic root of 107372664 is about 475.2964561198.

It can be divided in two parts, 1073 and 72664, that added together give a palindrome (73737).

The spelling of 107372664 in words is "one hundred seven million, three hundred seventy-two thousand, six hundred sixty-four".