105355221593 has 2 divisors, whose sum is σ = 105355221594. Its totient is φ = 105355221592.

The previous prime is 105355221581. The next prime is 105355221683. The reversal of 105355221593 is 395122553501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70728338704 + 34626882889 = 265948^2 + 186083^2 .

It is a cyclic number.

It is not a de Polignac number, because 105355221593 - 2¹⁰ = 105355220569 is a prime.

It is a super-2 number, since 2×105355221593² (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 105355221593.

It is not a weakly prime, because it can be changed into another prime (105355221553) 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, 52677610796 + 52677610797.

It is an arithmetic number, because the mean of its divisors is an integer number (52677610797).

Almost surely, 2^105355221593 is an apocalyptic number.

It is an amenable number.

105355221593 is a deficient number, since it is larger than the sum of its proper divisors (1).

105355221593 is an equidigital number, since it uses as much as digits as its factorization.

105355221593 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 202500, while the sum is 41.

The spelling of 105355221593 in words is "one hundred five billion, three hundred fifty-five million, two hundred twenty-one thousand, five hundred ninety-three".