107243415938560 has 320 divisors, whose sum is σ = 309922532688384. Its totient is φ = 35107815424000.

The previous prime is 107243415938557. The next prime is 107243415938567. The reversal of 107243415938560 is 65839514342701.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 107243415938495 and 107243415938504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107243415938567) 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, 6140535 + ... + 15880585.

It is a 1-persistent number, because it is pandigital, but 2⋅107243415938560 = 214486831877120 is not.

Almost surely, 2^{107243415938560} is an apocalyptic number.

107243415938560 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 107243415938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154961266344192).

107243415938560 is an abundant number, since it is smaller than the sum of its proper divisors (202679116749824).

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

107243415938560 is a wasteful number, since it uses less digits than its factorization.

107243415938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9740125 (or 9740109 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 58.

The spelling of 107243415938560 in words is "one hundred seven trillion, two hundred forty-three billion, four hundred fifteen million, nine hundred thirty-eight thousand, five hundred sixty".