105456560361 has 16 divisors (see below), whose sum is σ = 141911697984. Its totient is φ = 69653412864.

The previous prime is 105456560323. The next prime is 105456560381. The reversal of 105456560361 is 163065654501.

It is not a de Polignac number, because 105456560361 - 2³⁰ = 104382818537 is a prime.

It is a super-2 number, since 2×105456560361² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105456560381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 773265 + ... + 899361.

It is an arithmetic number, because the mean of its divisors is an integer number (8869481124).

Almost surely, 2^105456560361 is an apocalyptic number.

It is an amenable number.

105456560361 is a deficient number, since it is larger than the sum of its proper divisors (36455137623).

105456560361 is a wasteful number, since it uses less digits than its factorization.

105456560361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128680.

The product of its (nonzero) digits is 324000, while the sum is 42.

The spelling of 105456560361 in words is "one hundred five billion, four hundred fifty-six million, five hundred sixty thousand, three hundred sixty-one".