107013815768160 has 1728 divisors, whose sum is σ = 444435879573504. Its totient is φ = 24245144985600.

The previous prime is 107013815768141. The next prime is 107013815768161. The reversal of 107013815768160 is 61867518310701.

107013815768160 is a `hidden beast` number, since 1 + 0 + 7 + 0 + 1 + 3 + 8 + 1 + 576 + 8 + 1 + 60 = 666.

It is a super-2 number, since 2×107013815768160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 107013815768097 and 107013815768106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107013815768161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 140622622180 + ... + 140622622940.

It is an arithmetic number, because the mean of its divisors is an integer number (257196689568).

Almost surely, 2^{107013815768160} is an apocalyptic number.

107013815768160 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 107013815768160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222217939786752).

107013815768160 is an abundant number, since it is smaller than the sum of its proper divisors (337422063805344).

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

107013815768160 is a wasteful number, since it uses less digits than its factorization.

107013815768160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1359 (or 1332 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 107013815768160 in words is "one hundred seven trillion, thirteen billion, eight hundred fifteen million, seven hundred sixty-eight thousand, one hundred sixty".