107399160 has 192 divisors, whose sum is σ = 391603680. Its totient is φ = 25297920.

The previous prime is 107399143. The next prime is 107399177. The reversal of 107399160 is 61993701.

107399160 is a `hidden beast` number, since 107 + 399 + 160 = 666.

It is an interprime number because it is at equal distance from previous prime (107399143) and next prime (107399177).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 146154 + ... + 146886.

Almost surely, 2^107399160 is an apocalyptic number.

107399160 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 107399160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195801840).

107399160 is an abundant number, since it is smaller than the sum of its proper divisors (284204520).

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

107399160 is a wasteful number, since it uses less digits than its factorization.

107399160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 107399160 is about 10363.3565990947. The cubic root of 107399160 is about 475.3355486867.

The spelling of 107399160 in words is "one hundred seven million, three hundred ninety-nine thousand, one hundred sixty".