105536105261 has 2 divisors, whose sum is σ = 105536105262. Its totient is φ = 105536105260.

The previous prime is 105536105219. The next prime is 105536105369. The reversal of 105536105261 is 162501635501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99530785225 + 6005320036 = 315485^2 + 77494^2 .

It is a cyclic number.

It is not a de Polignac number, because 105536105261 - 2³⁰ = 104462363437 is a prime.

It is a super-2 number, since 2×105536105261² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105536105761) 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, 52768052630 + 52768052631.

It is an arithmetic number, because the mean of its divisors is an integer number (52768052631).

Almost surely, 2^105536105261 is an apocalyptic number.

It is an amenable number.

105536105261 is a deficient number, since it is larger than the sum of its proper divisors (1).

105536105261 is an equidigital number, since it uses as much as digits as its factorization.

105536105261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 105536105261 in words is "one hundred five billion, five hundred thirty-six million, one hundred five thousand, two hundred sixty-one".