105715204056 has 960 divisors, whose sum is σ = 396406483200. Its totient is φ = 26138246400.

The previous prime is 105715204043. The next prime is 105715204061. The reversal of 105715204056 is 650402517501.

105715204056 is a `hidden beast` number, since 10 + 5 + 71 + 520 + 4 + 0 + 56 = 666.

It is a super-2 number, since 2×105715204056² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 105715204056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1488946501 + ... + 1488946571.

It is an arithmetic number, because the mean of its divisors is an integer number (412923420).

Almost surely, 2^105715204056 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 105715204056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198203241600).

105715204056 is an abundant number, since it is smaller than the sum of its proper divisors (290691279144).

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

105715204056 is an equidigital number, since it uses as much as digits as its factorization.

105715204056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 105715204056 in words is "one hundred five billion, seven hundred fifteen million, two hundred four thousand, fifty-six".