107053856 has 96 divisors (see below), whose sum is σ = 262765440. Its totient is φ = 41803776.

The previous prime is 107053853. The next prime is 107053861. The reversal of 107053856 is 658350701.

It is a super-2 number, since 2×107053856² = 22921056168937472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107053853) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 282275 + ... + 282653.

It is an arithmetic number, because the mean of its divisors is an integer number (2737140).

Almost surely, 2^107053856 is an apocalyptic number.

107053856 is a gapful number since it is divisible by the number (16) 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 107053856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131382720).

107053856 is an abundant number, since it is smaller than the sum of its proper divisors (155711584).

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

107053856 is a wasteful number, since it uses less digits than its factorization.

107053856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 35.

The square root of 107053856 is about 10346.6833333199. The cubic root of 107053856 is about 474.8255773254.

The spelling of 107053856 in words is "one hundred seven million, fifty-three thousand, eight hundred fifty-six".