105360589 has 2 divisors, whose sum is σ = 105360590. Its totient is φ = 105360588.

The previous prime is 105360583. The next prime is 105360667. The reversal of 105360589 is 985063501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103184964 + 2175625 = 10158^2 + 1475^2 .

It is a cyclic number.

It is not a de Polignac number, because 105360589 - 2³ = 105360581 is a prime.

It is a super-2 number, since 2×105360589² = 22201707428853842, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105360581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52680294 + 52680295.

It is an arithmetic number, because the mean of its divisors is an integer number (52680295).

Almost surely, 2^105360589 is an apocalyptic number.

It is an amenable number.

105360589 is a deficient number, since it is larger than the sum of its proper divisors (1).

105360589 is an equidigital number, since it uses as much as digits as its factorization.

105360589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 105360589 is about 10264.5306273594. The cubic root of 105360589 is about 472.3088281621.

The spelling of 105360589 in words is "one hundred five million, three hundred sixty thousand, five hundred eighty-nine".