105949334563 has 2 divisors, whose sum is σ = 105949334564. Its totient is φ = 105949334562.

The previous prime is 105949334507. The next prime is 105949334609. The reversal of 105949334563 is 365433949501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105949334563 is a prime.

It is a super-2 number, since 2×105949334563² (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 105949334563.

It is not a weakly prime, because it can be changed into another prime (105949334503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52974667281 + 52974667282.

It is an arithmetic number, because the mean of its divisors is an integer number (52974667282).

Almost surely, 2^105949334563 is an apocalyptic number.

105949334563 is a deficient number, since it is larger than the sum of its proper divisors (1).

105949334563 is an equidigital number, since it uses as much as digits as its factorization.

105949334563 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5248800, while the sum is 52.

The spelling of 105949334563 in words is "one hundred five billion, nine hundred forty-nine million, three hundred thirty-four thousand, five hundred sixty-three".