105596123996160 has 2688 divisors, whose sum is σ = 475491803904000. Its totient is φ = 21111018356736.

The previous prime is 105596123996147. The next prime is 105596123996161. The reversal of 105596123996160 is 61699321695501.

105596123996160 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 9 + 6 + 1 + 2 + 3 + 9 + 9 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×105596123996160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105596123996161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32702421426 + ... + 32702424654.

Almost surely, 2^{105596123996160} is an apocalyptic number.

105596123996160 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 105596123996160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237745901952000).

105596123996160 is an abundant number, since it is smaller than the sum of its proper divisors (369895679907840).

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

105596123996160 is a wasteful number, since it uses less digits than its factorization.

105596123996160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3344 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 23619600, while the sum is 63.

The spelling of 105596123996160 in words is "one hundred five trillion, five hundred ninety-six billion, one hundred twenty-three million, nine hundred ninety-six thousand, one hundred sixty".