107856 has 60 divisors (see below), whose sum is σ = 348192. Its totient is φ = 30528.

The previous prime is 107843. The next prime is 107857. The reversal of 107856 is 658701.

107856 is nontrivially palindromic in base 5.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107857) by changing a digit.

107856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 955 + ... + 1061.

2¹⁰⁷⁸⁵⁶ is an apocalyptic number.

107856 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 107856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174096).

107856 is an abundant number, since it is smaller than the sum of its proper divisors (240336).

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

107856 is a wasteful number, since it uses less digits than its factorization.

107856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 107856 is about 328.4143724017. The cubic root of 107856 is about 47.6008567979.

The spelling of 107856 in words is "one hundred seven thousand, eight hundred fifty-six".