105865260817 has 2 divisors, whose sum is σ = 105865260818. Its totient is φ = 105865260816.

The previous prime is 105865260797. The next prime is 105865260833. The reversal of 105865260817 is 718062568501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88185835521 + 17679425296 = 296961^2 + 132964^2 .

It is a cyclic number.

It is not a de Polignac number, because 105865260817 - 2¹¹ = 105865258769 is a prime.

It is a super-2 number, since 2×105865260817² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105865260877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52932630408 + 52932630409.

It is an arithmetic number, because the mean of its divisors is an integer number (52932630409).

Almost surely, 2^105865260817 is an apocalyptic number.

It is an amenable number.

105865260817 is a deficient number, since it is larger than the sum of its proper divisors (1).

105865260817 is an equidigital number, since it uses as much as digits as its factorization.

105865260817 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 806400, while the sum is 49.

The spelling of 105865260817 in words is "one hundred five billion, eight hundred sixty-five million, two hundred sixty thousand, eight hundred seventeen".