107760960 has 336 divisors, whose sum is σ = 410821632. Its totient is φ = 25804800.

The previous prime is 107760949. The next prime is 107760973. The reversal of 107760960 is 69067701.

It is a super-2 number, since 2×107760960² = 23224849000243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 1517725 + ... + 1517795.

Almost surely, 2^107760960 is an apocalyptic number.

107760960 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 107760960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205410816).

107760960 is an abundant number, since it is smaller than the sum of its proper divisors (303060672).

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

107760960 is a wasteful number, since it uses less digits than its factorization.

107760960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 107760960 is about 10380.7976572131. The cubic root of 107760960 is about 475.8687112907.

The spelling of 107760960 in words is "one hundred seven million, seven hundred sixty thousand, nine hundred sixty".