107160880 has 80 divisors (see below), whose sum is σ = 262420704. Its totient is φ = 40642560.

The previous prime is 107160853. The next prime is 107160881. The reversal of 107160880 is 88061701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×107160880² = 22966908404748800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107160881) by changing a digit.

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, 120919 + ... + 121801.

Almost surely, 2^107160880 is an apocalyptic number.

107160880 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 107160880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131210352).

107160880 is an abundant number, since it is smaller than the sum of its proper divisors (155259824).

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

107160880 is a wasteful number, since it uses less digits than its factorization.

107160880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 31.

The square root of 107160880 is about 10351.8539402370. The cubic root of 107160880 is about 474.9837556772.

The spelling of 107160880 in words is "one hundred seven million, one hundred sixty thousand, eight hundred eighty".