107656128 has 140 divisors (see below), whose sum is σ = 336229960. Its totient is φ = 33965568.

The previous prime is 107656127. The next prime is 107656141. The reversal of 107656128 is 821656701.

107656128 is a `hidden beast` number, since 1 + 0 + 76 + 561 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 107656092 and 107656101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107656127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97950 + ... + 99042.

Almost surely, 2^107656128 is an apocalyptic number.

107656128 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 107656128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168114980).

107656128 is an abundant number, since it is smaller than the sum of its proper divisors (228573832).

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

107656128 is a wasteful number, since it uses less digits than its factorization.

107656128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1136 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 107656128 is about 10375.7471056305. The cubic root of 107656128 is about 475.7143497165.

The spelling of 107656128 in words is "one hundred seven million, six hundred fifty-six thousand, one hundred twenty-eight".