105564461344 has 24 divisors (see below), whose sum is σ = 208815023088. Its totient is φ = 52532074560.

The previous prime is 105564461297. The next prime is 105564461399. The reversal of 105564461344 is 443164465501.

It is a super-2 number, since 2×105564461344² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105564461344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7810522 + ... + 7824025.

It is an arithmetic number, because the mean of its divisors is an integer number (8700625962).

Almost surely, 2^105564461344 is an apocalyptic number.

It is an amenable number.

105564461344 is a deficient number, since it is larger than the sum of its proper divisors (103250561744).

105564461344 is a wasteful number, since it uses less digits than its factorization.

105564461344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15634768 (or 15634760 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 43.

The spelling of 105564461344 in words is "one hundred five billion, five hundred sixty-four million, four hundred sixty-one thousand, three hundred forty-four".