107128320 has 320 divisors, whose sum is σ = 391849920. Its totient is φ = 24772608.

The previous prime is 107128277. The next prime is 107128331. The reversal of 107128320 is 23821701.

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

It is a super-2 number, since 2×107128320² = 22952953892044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 2895342 + ... + 2895378.

It is an arithmetic number, because the mean of its divisors is an integer number (1224531).

Almost surely, 2^107128320 is an apocalyptic number.

107128320 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 107128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195924960).

107128320 is an abundant number, since it is smaller than the sum of its proper divisors (284721600).

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

107128320 is a wasteful number, since it uses less digits than its factorization.

107128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 107128320 is about 10350.2811556015. The cubic root of 107128320 is about 474.9356440973.

The spelling of 107128320 in words is "one hundred seven million, one hundred twenty-eight thousand, three hundred twenty".