107642413709880 has 64 divisors (see below), whose sum is σ = 369059704151040. Its totient is φ = 24603980276352.

The previous prime is 107642413709879. The next prime is 107642413709891. The reversal of 107642413709880 is 88907314246701.

It is a super-2 number, since 2×107642413709880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64072864464 + ... + 64072866143.

It is an arithmetic number, because the mean of its divisors is an integer number (5766557877360).

Almost surely, 2^{107642413709880} is an apocalyptic number.

107642413709880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107642413709880 is an abundant number, since it is smaller than the sum of its proper divisors (261417290441160).

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

107642413709880 is a wasteful number, since it uses less digits than its factorization.

107642413709880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128145730628 (or 128145730624 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 107642413709880 in words is "one hundred seven trillion, six hundred forty-two billion, four hundred thirteen million, seven hundred nine thousand, eight hundred eighty".