107372160 has 192 divisors, whose sum is σ = 423895680. Its totient is φ = 24532992.

The previous prime is 107372147. The next prime is 107372171. The reversal of 107372160 is 61273701.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38989 + ... + 41651.

It is an arithmetic number, because the mean of its divisors is an integer number (2207790).

Almost surely, 2^107372160 is an apocalyptic number.

107372160 is a gapful number since it is divisible by the number (10) 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 107372160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211947840).

107372160 is an abundant number, since it is smaller than the sum of its proper divisors (316523520).

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

107372160 is a wasteful number, since it uses less digits than its factorization.

107372160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 107372160 is about 10362.0538504681. The cubic root of 107372160 is about 475.2957124488.

The spelling of 107372160 in words is "one hundred seven million, three hundred seventy-two thousand, one hundred sixty".