107872128 has 320 divisors, whose sum is σ = 399982800. Its totient is φ = 28449792.

The previous prime is 107872111. The next prime is 107872151. The reversal of 107872128 is 821278701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 107872128 = 28³ + 476³ = 210³ + 462³.

It is a junction number, because it is equal to n+sod(n) for n = 107872092 and 107872101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8297850 + ... + 8297862.

Almost surely, 2^107872128 is an apocalyptic number.

107872128 is a gapful number since it is divisible by the number (18) 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 107872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199991400).

107872128 is an abundant number, since it is smaller than the sum of its proper divisors (292110672).

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

107872128 is an frugal number, since it uses more digits than its factorization.

107872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 36.

The square root of 107872128 is about 10386.1507788015. The cubic root of 107872128 is about 476.0322930802.

The spelling of 107872128 in words is "one hundred seven million, eight hundred seventy-two thousand, one hundred twenty-eight".