107456960 has 84 divisors (see below), whose sum is σ = 277218648. Its totient is φ = 39656448.

The previous prime is 107456933. The next prime is 107456963. The reversal of 107456960 is 69654701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107456963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53087 + ... + 55073.

It is an arithmetic number, because the mean of its divisors is an integer number (3300222).

Almost surely, 2^107456960 is an apocalyptic number.

107456960 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 107456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138609324).

107456960 is an abundant number, since it is smaller than the sum of its proper divisors (169761688).

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

107456960 is a wasteful number, since it uses less digits than its factorization.

107456960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 107456960 is about 10366.1448957653. The cubic root of 107456960 is about 475.4208053047.

The spelling of 107456960 in words is "one hundred seven million, four hundred fifty-six thousand, nine hundred sixty".