107885136 has 40 divisors (see below), whose sum is σ = 280433440. Its totient is φ = 35738496.

The previous prime is 107885123. The next prime is 107885137. The reversal of 107885136 is 631588701.

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 107885094 and 107885103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107885137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 930 + ... + 14718.

It is an arithmetic number, because the mean of its divisors is an integer number (7010836).

Almost surely, 2^107885136 is an apocalyptic number.

107885136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107885136 is an abundant number, since it is smaller than the sum of its proper divisors (172548304).

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

107885136 is a wasteful number, since it uses less digits than its factorization.

107885136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13963 (or 13957 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 107885136 is about 10386.7769784472. The cubic root of 107885136 is about 476.0514267813.

The spelling of 107885136 in words is "one hundred seven million, eight hundred eighty-five thousand, one hundred thirty-six".