105581261 has 2 divisors, whose sum is σ = 105581262. Its totient is φ = 105581260.

The previous prime is 105581249. The next prime is 105581341. The reversal of 105581261 is 162185501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99301225 + 6280036 = 9965^2 + 2506^2 .

It is a cyclic number.

It is not a de Polignac number, because 105581261 - 2⁶ = 105581197 is a prime.

It is a super-2 number, since 2×105581261² = 22294805348700242, which contains 22 as substring.

It is a Chen prime.

It is equal to p_6064139 and since 105581261 and 6064139 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105581761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52790630 + 52790631.

It is an arithmetic number, because the mean of its divisors is an integer number (52790631).

Almost surely, 2^105581261 is an apocalyptic number.

It is an amenable number.

105581261 is a deficient number, since it is larger than the sum of its proper divisors (1).

105581261 is an equidigital number, since it uses as much as digits as its factorization.

105581261 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2400, while the sum is 29.

The square root of 105581261 is about 10275.2742542474. The cubic root of 105581261 is about 472.6383399036.

The spelling of 105581261 in words is "one hundred five million, five hundred eighty-one thousand, two hundred sixty-one".