107330880 has 112 divisors (see below), whose sum is σ = 355665024. Its totient is φ = 27371520.

The previous prime is 107330879. The next prime is 107330893. The reversal of 107330880 is 88033701.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19650 + ... + 24510.

Almost surely, 2^107330880 is an apocalyptic number.

107330880 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 107330880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177832512).

107330880 is an abundant number, since it is smaller than the sum of its proper divisors (248334144).

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

107330880 is a wasteful number, since it uses less digits than its factorization.

107330880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4904 (or 4894 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 107330880 is about 10360.0617758776. The cubic root of 107330880 is about 475.2347943551.

The spelling of 107330880 in words is "one hundred seven million, three hundred thirty thousand, eight hundred eighty".