105891561241 has 2 divisors, whose sum is σ = 105891561242. Its totient is φ = 105891561240.

The previous prime is 105891561119. The next prime is 105891561317. The reversal of 105891561241 is 142165198501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78871105600 + 27020455641 = 280840^2 + 164379^2 .

It is a cyclic number.

It is not a de Polignac number, because 105891561241 - 2²⁷ = 105757343513 is a prime.

It is a super-2 number, since 2×105891561241² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105891571241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52945780620 + 52945780621.

It is an arithmetic number, because the mean of its divisors is an integer number (52945780621).

Almost surely, 2^105891561241 is an apocalyptic number.

It is an amenable number.

105891561241 is a deficient number, since it is larger than the sum of its proper divisors (1).

105891561241 is an equidigital number, since it uses as much as digits as its factorization.

105891561241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 86400, while the sum is 43.

The spelling of 105891561241 in words is "one hundred five billion, eight hundred ninety-one million, five hundred sixty-one thousand, two hundred forty-one".