107122665257760 has 192 divisors, whose sum is σ = 352518434940672. Its totient is φ = 27292156379136.

The previous prime is 107122665257747. The next prime is 107122665257761. The reversal of 107122665257760 is 67752566221701.

It is a happy number.

It is a super-2 number, since 2×107122665257760² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107122665257760.

It is not an unprimeable number, because it can be changed into a prime (107122665257761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3800172 + ... + 15122388.

It is an arithmetic number, because the mean of its divisors is an integer number (1836033515316).

Almost surely, 2^{107122665257760} is an apocalyptic number.

107122665257760 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 107122665257760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176259217470336).

107122665257760 is an abundant number, since it is smaller than the sum of its proper divisors (245395769682912).

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

107122665257760 is a wasteful number, since it uses less digits than its factorization.

107122665257760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11323115 (or 11323107 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 57.

The spelling of 107122665257760 in words is "one hundred seven trillion, one hundred twenty-two billion, six hundred sixty-five million, two hundred fifty-seven thousand, seven hundred sixty".