105564461399 has 2 divisors, whose sum is σ = 105564461400. Its totient is φ = 105564461398.

The previous prime is 105564461297. The next prime is 105564461441. The reversal of 105564461399 is 993164465501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105564461399 - 2¹⁶ = 105564395863 is a prime.

It is a super-2 number, since 2×105564461399² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105564461399.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105564461699) 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 as a sum of consecutive naturals, namely, 52782230699 + 52782230700.

It is an arithmetic number, because the mean of its divisors is an integer number (52782230700).

Almost surely, 2^105564461399 is an apocalyptic number.

105564461399 is a deficient number, since it is larger than the sum of its proper divisors (1).

105564461399 is an equidigital number, since it uses as much as digits as its factorization.

105564461399 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3499200, while the sum is 53.

The spelling of 105564461399 in words is "one hundred five billion, five hundred sixty-four million, four hundred sixty-one thousand, three hundred ninety-nine".