107956920 has 64 divisors (see below), whose sum is σ = 328458240. Its totient is φ = 28380800.

The previous prime is 107956909. The next prime is 107956943. The reversal of 107956920 is 29659701.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2185 + ... + 14855.

It is an arithmetic number, because the mean of its divisors is an integer number (5132160).

Almost surely, 2^107956920 is an apocalyptic number.

107956920 is a gapful number since it is divisible by the number (10) 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 107956920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164229120).

107956920 is an abundant number, since it is smaller than the sum of its proper divisors (220501320).

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

107956920 is a wasteful number, since it uses less digits than its factorization.

107956920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12756 (or 12752 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 107956920 is about 10390.2319512126. The cubic root of 107956920 is about 476.1569875052.

The spelling of 107956920 in words is "one hundred seven million, nine hundred fifty-six thousand, nine hundred twenty".