107823936 has 112 divisors (see below), whose sum is σ = 327720960. Its totient is φ = 30942720.

The previous prime is 107823929. The next prime is 107823941. The reversal of 107823936 is 639328701.

It is a junction number, because it is equal to n+sod(n) for n = 107823894 and 107823903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38785 + ... + 41471.

It is an arithmetic number, because the mean of its divisors is an integer number (2926080).

Almost surely, 2^107823936 is an apocalyptic number.

107823936 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 107823936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163860480).

107823936 is an abundant number, since it is smaller than the sum of its proper divisors (219897024).

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

107823936 is a wasteful number, since it uses less digits than its factorization.

107823936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2732 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 107823936 is about 10383.8305070913. The cubic root of 107823936 is about 475.9613931920.

The spelling of 107823936 in words is "one hundred seven million, eight hundred twenty-three thousand, nine hundred thirty-six".