105580661 has 2 divisors, whose sum is σ = 105580662. Its totient is φ = 105580660.

The previous prime is 105580639. The next prime is 105580669. The reversal of 105580661 is 166085501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87142225 + 18438436 = 9335^2 + 4294^2 .

It is a cyclic number.

It is not a de Polignac number, because 105580661 - 2²² = 101386357 is a prime.

It is a super-2 number, since 2×105580661² = 22294551954393842, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105580669) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52790330 + 52790331.

It is an arithmetic number, because the mean of its divisors is an integer number (52790331).

Almost surely, 2^105580661 is an apocalyptic number.

It is an amenable number.

105580661 is a deficient number, since it is larger than the sum of its proper divisors (1).

105580661 is an equidigital number, since it uses as much as digits as its factorization.

105580661 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 105580661 is about 10275.2450579049. The cubic root of 105580661 is about 472.6374445947.

The spelling of 105580661 in words is "one hundred five million, five hundred eighty thousand, six hundred sixty-one".