107716320 has 288 divisors, whose sum is σ = 402554880. Its totient is φ = 26127360.

The previous prime is 107716319. The next prime is 107716327. The reversal of 107716320 is 23617701.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107716327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 848097 + ... + 848223.

It is an arithmetic number, because the mean of its divisors is an integer number (1397760).

Almost surely, 2^107716320 is an apocalyptic number.

107716320 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 107716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

107716320 is an abundant number, since it is smaller than the sum of its proper divisors (294838560).

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

107716320 is a wasteful number, since it uses less digits than its factorization.

107716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

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

The square root of 107716320 is about 10378.6473107048. The cubic root of 107716320 is about 475.8029926445.

The spelling of 107716320 in words is "one hundred seven million, seven hundred sixteen thousand, three hundred twenty".