107935128 has 96 divisors (see below), whose sum is σ = 335612160. Its totient is φ = 30697920.

The previous prime is 107935127. The next prime is 107935183. The reversal of 107935128 is 821539701.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 107935092 and 107935101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107935127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166501 + ... + 167147.

It is an arithmetic number, because the mean of its divisors is an integer number (3495960).

Almost surely, 2^107935128 is an apocalyptic number.

107935128 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 107935128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167806080).

107935128 is an abundant number, since it is smaller than the sum of its proper divisors (227677032).

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

107935128 is a wasteful number, since it uses less digits than its factorization.

107935128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 107935128 is about 10389.1832210237. The cubic root of 107935128 is about 476.1249466031.

The spelling of 107935128 in words is "one hundred seven million, nine hundred thirty-five thousand, one hundred twenty-eight".