105661081 has 2 divisors, whose sum is σ = 105661082. Its totient is φ = 105661080.

The previous prime is 105661043. The next prime is 105661091. The reversal of 105661081 is 180166501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 73273600 + 32387481 = 8560^2 + 5691^2 .

It is an emirp because it is prime and its reverse (180166501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105661081 - 2⁷ = 105660953 is a prime.

It is a super-2 number, since 2×105661081² = 22328528076177122, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105661091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52830540 + 52830541.

It is an arithmetic number, because the mean of its divisors is an integer number (52830541).

Almost surely, 2^105661081 is an apocalyptic number.

It is an amenable number.

105661081 is a deficient number, since it is larger than the sum of its proper divisors (1).

105661081 is an equidigital number, since it uses as much as digits as its factorization.

105661081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 28.

The square root of 105661081 is about 10279.1576016715. The cubic root of 105661081 is about 472.7574156086.

The spelling of 105661081 in words is "one hundred five million, six hundred sixty-one thousand, eighty-one".