107704128 has 112 divisors (see below), whose sum is σ = 328761344. Its totient is φ = 30481920.

The previous prime is 107704117. The next prime is 107704133. The reversal of 107704128 is 821407701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 107704095 and 107704104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170373 + ... + 171003.

Almost surely, 2^107704128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164380672).

107704128 is an abundant number, since it is smaller than the sum of its proper divisors (221057216).

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

107704128 is a wasteful number, since it uses less digits than its factorization.

107704128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 107704128 is about 10378.0599343037. The cubic root of 107704128 is about 475.7850405243.

The spelling of 107704128 in words is "one hundred seven million, seven hundred four thousand, one hundred twenty-eight".