107477920 has 96 divisors (see below), whose sum is σ = 280869120. Its totient is φ = 38538240.

The previous prime is 107477911. The next prime is 107477921. The reversal of 107477920 is 29774701.

It is a self number, because there is not a number n which added to its sum of digits gives 107477920.

It is not an unprimeable number, because it can be changed into a prime (107477921) 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, 138654 + ... + 139426.

It is an arithmetic number, because the mean of its divisors is an integer number (2925720).

Almost surely, 2^107477920 is an apocalyptic number.

107477920 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 107477920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140434560).

107477920 is an abundant number, since it is smaller than the sum of its proper divisors (173391200).

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

107477920 is a wasteful number, since it uses less digits than its factorization.

107477920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 37.

The square root of 107477920 is about 10367.1558298311. The cubic root of 107477920 is about 475.4517143380.

The spelling of 107477920 in words is "one hundred seven million, four hundred seventy-seven thousand, nine hundred twenty".