107379168 has 96 divisors (see below), whose sum is σ = 306230400. Its totient is φ = 32749056.

The previous prime is 107379121. The next prime is 107379187. The reversal of 107379168 is 861973701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173163 + ... + 173781.

It is an arithmetic number, because the mean of its divisors is an integer number (3189900).

Almost surely, 2^107379168 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 107379168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153115200).

107379168 is an abundant number, since it is smaller than the sum of its proper divisors (198851232).

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

107379168 is a wasteful number, since it uses less digits than its factorization.

107379168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 107379168 is about 10362.3920018498. The cubic root of 107379168 is about 475.3060528074.

The spelling of 107379168 in words is "one hundred seven million, three hundred seventy-nine thousand, one hundred sixty-eight".