107696160 has 288 divisors, whose sum is σ = 432589248. Its totient is φ = 24053760.

The previous prime is 107696117. The next prime is 107696177. The reversal of 107696160 is 61696701.

It is a tau number, because it is divible by the number of its divisors (288).

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, 205659 + ... + 206181.

It is an arithmetic number, because the mean of its divisors is an integer number (1502046).

Almost surely, 2^107696160 is an apocalyptic number.

107696160 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 107696160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216294624).

107696160 is an abundant number, since it is smaller than the sum of its proper divisors (324893088).

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

107696160 is a wasteful number, since it uses less digits than its factorization.

107696160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 107696160 is about 10377.6760404245. The cubic root of 107696160 is about 475.7733073043.

The spelling of 107696160 in words is "one hundred seven million, six hundred ninety-six thousand, one hundred sixty".