105563516579 has 2 divisors, whose sum is σ = 105563516580. Its totient is φ = 105563516578.

The previous prime is 105563516533. The next prime is 105563516593. The reversal of 105563516579 is 975615365501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105563516579 is a prime.

It is a super-2 number, since 2×105563516579² (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 105563516579.

It is not a weakly prime, because it can be changed into another prime (105563516479) 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, 52781758289 + 52781758290.

It is an arithmetic number, because the mean of its divisors is an integer number (52781758290).

Almost surely, 2^105563516579 is an apocalyptic number.

105563516579 is a deficient number, since it is larger than the sum of its proper divisors (1).

105563516579 is an equidigital number, since it uses as much as digits as its factorization.

105563516579 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4252500, while the sum is 53.

The spelling of 105563516579 in words is "one hundred five billion, five hundred sixty-three million, five hundred sixteen thousand, five hundred seventy-nine".