105565589 has 2 divisors, whose sum is σ = 105565590. Its totient is φ = 105565588.

The previous prime is 105565549. The next prime is 105565591. The reversal of 105565589 is 985565501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105370225 + 195364 = 10265^2 + 442^2 .

It is a cyclic number.

It is not a de Polignac number, because 105565589 - 2⁸ = 105565333 is a prime.

It is a super-2 number, since 2×105565589² = 22288187161833842, which contains 22 as substring.

Together with 105565591, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105565549) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52782794 + 52782795.

It is an arithmetic number, because the mean of its divisors is an integer number (52782795).

Almost surely, 2^105565589 is an apocalyptic number.

It is an amenable number.

105565589 is a deficient number, since it is larger than the sum of its proper divisors (1).

105565589 is an equidigital number, since it uses as much as digits as its factorization.

105565589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 270000, while the sum is 44.

The square root of 105565589 is about 10274.5116185637. The cubic root of 105565589 is about 472.6149533212.

The spelling of 105565589 in words is "one hundred five million, five hundred sixty-five thousand, five hundred eighty-nine".