105168315790404 has 192 divisors, whose sum is σ = 292998085632000. Its totient is φ = 32546324828160.

The previous prime is 105168315790403. The next prime is 105168315790457. The reversal of 105168315790404 is 404097513861501.

105168315790404 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 6 + 83 + 157 + 9 + 0 + 404 = 666.

105168315790404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105168315790404² (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 not an unprimeable number, because it can be changed into a prime (105168315790403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7036164 + ... + 16119684.

It is an arithmetic number, because the mean of its divisors is an integer number (1526031696000).

Almost surely, 2^{105168315790404} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105168315790404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146499042816000).

105168315790404 is an abundant number, since it is smaller than the sum of its proper divisors (187829769841596).

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

105168315790404 is a wasteful number, since it uses less digits than its factorization.

105168315790404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9083695 (or 9083687 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 105168315790404 in words is "one hundred five trillion, one hundred sixty-eight billion, three hundred fifteen million, seven hundred ninety thousand, four hundred four".