107680320 has 336 divisors, whose sum is σ = 421599360. Its totient is φ = 25850880.

The previous prime is 107680303. The next prime is 107680333. The reversal of 107680320 is 23086701.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 1045389 + ... + 1045491.

It is an arithmetic number, because the mean of its divisors is an integer number (1254760).

Almost surely, 2^107680320 is an apocalyptic number.

107680320 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 107680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210799680).

107680320 is an abundant number, since it is smaller than the sum of its proper divisors (313919040).

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

107680320 is a wasteful number, since it uses less digits than its factorization.

107680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 107680320 is about 10376.9128357137. The cubic root of 107680320 is about 475.7499805094.

The spelling of 107680320 in words is "one hundred seven million, six hundred eighty thousand, three hundred twenty".