105268643561 has 2 divisors, whose sum is σ = 105268643562. Its totient is φ = 105268643560.

The previous prime is 105268643479. The next prime is 105268643629. The reversal of 105268643561 is 165346862501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 80227163536 + 25041480025 = 283244^2 + 158245^2 .

It is a cyclic number.

It is not a de Polignac number, because 105268643561 - 2¹⁰ = 105268642537 is a prime.

It is a super-2 number, since 2×105268643561² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105268643861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52634321780 + 52634321781.

It is an arithmetic number, because the mean of its divisors is an integer number (52634321781).

Almost surely, 2^105268643561 is an apocalyptic number.

It is an amenable number.

105268643561 is a deficient number, since it is larger than the sum of its proper divisors (1).

105268643561 is an equidigital number, since it uses as much as digits as its factorization.

105268643561 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 105268643561 in words is "one hundred five billion, two hundred sixty-eight million, six hundred forty-three thousand, five hundred sixty-one".