107882560 has 56 divisors (see below), whose sum is σ = 261783576. Its totient is φ = 42332160.

The previous prime is 107882557. The next prime is 107882591. The reversal of 107882560 is 65288701.

It can be written as a sum of positive squares in 4 ways, for example, as 9634816 + 98247744 = 3104^2 + 9912^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13780 + ... + 20140.

Almost surely, 2^107882560 is an apocalyptic number.

107882560 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 107882560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130891788).

107882560 is an abundant number, since it is smaller than the sum of its proper divisors (153901016).

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

107882560 is an equidigital number, since it uses as much as digits as its factorization.

107882560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6431 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 107882560 is about 10386.6529738891. The cubic root of 107882560 is about 476.0476378187.

It can be divided in two parts, 1078 and 82560, that added together give a palindrome (83638).

The spelling of 107882560 in words is "one hundred seven million, eight hundred eighty-two thousand, five hundred sixty".