105563059565257 has 12 divisors (see below), whose sum is σ = 122798337805200. Its totient is φ = 90482259217896.

The previous prime is 105563059565239. The next prime is 105563059565267. The reversal of 105563059565257 is 752565950365501.

It is a de Polignac number, because none of the positive numbers 2^k-105563059565257 is a prime.

It is a super-2 number, since 2×105563059565257² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105563059565267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8381998 + ... + 16774504.

It is an arithmetic number, because the mean of its divisors is an integer number (10233194817100).

Almost surely, 2^{105563059565257} is an apocalyptic number.

It is an amenable number.

105563059565257 is a deficient number, since it is larger than the sum of its proper divisors (17235278239943).

105563059565257 is an equidigital number, since it uses as much as digits as its factorization.

105563059565257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8649220 (or 8649213 counting only the distinct ones).

The product of its (nonzero) digits is 212625000, while the sum is 64.

The spelling of 105563059565257 in words is "one hundred five trillion, five hundred sixty-three billion, fifty-nine million, five hundred sixty-five thousand, two hundred fifty-seven".