107896320 has 320 divisors, whose sum is σ = 439971840. Its totient is φ = 24551424.

The previous prime is 107896303. The next prime is 107896333. The reversal of 107896320 is 23698701.

107896320 is a `hidden beast` number, since 10 + 7 + 8 + 9 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 483729 + ... + 483951.

It is an arithmetic number, because the mean of its divisors is an integer number (1374912).

Almost surely, 2^107896320 is an apocalyptic number.

107896320 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 107896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219985920).

107896320 is an abundant number, since it is smaller than the sum of its proper divisors (332075520).

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

107896320 is an equidigital number, since it uses as much as digits as its factorization.

107896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 107896320 is about 10387.3153413189. The cubic root of 107896320 is about 476.0678762985.

The spelling of 107896320 in words is "one hundred seven million, eight hundred ninety-six thousand, three hundred twenty".