107241415680 has 528 divisors, whose sum is σ = 409896127296. Its totient is φ = 23843635200.

The previous prime is 107241415669. The next prime is 107241415693. The reversal of 107241415680 is 86514142701.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27845755 + ... + 27849605.

Almost surely, 2^107241415680 is an apocalyptic number.

107241415680 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 107241415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204948063648).

107241415680 is an abundant number, since it is smaller than the sum of its proper divisors (302654711616).

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

107241415680 is a wasteful number, since it uses less digits than its factorization.

107241415680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3930 (or 3905 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 107241415680 in words is "one hundred seven billion, two hundred forty-one million, four hundred fifteen thousand, six hundred eighty".