107860480 has 160 divisors (see below), whose sum is σ = 318979584. Its totient is φ = 34062336.

The previous prime is 107860471. The next prime is 107860499. The reversal of 107860480 is 84068701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 232729 + ... + 233191.

Almost surely, 2^107860480 is an apocalyptic number.

107860480 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 107860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159489792).

107860480 is an abundant number, since it is smaller than the sum of its proper divisors (211119104).

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

107860480 is an equidigital number, since it uses as much as digits as its factorization.

107860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 107860480 is about 10385.5900169417. The cubic root of 107860480 is about 476.0151585220.

The spelling of 107860480 in words is "one hundred seven million, eight hundred sixty thousand, four hundred eighty".