105516589 has 2 divisors, whose sum is σ = 105516590. Its totient is φ = 105516588.

The previous prime is 105516581. The next prime is 105516601. The reversal of 105516589 is 985615501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85562500 + 19954089 = 9250^2 + 4467^2 .

It is a cyclic number.

It is not a de Polignac number, because 105516589 - 2³ = 105516581 is a prime.

It is a super-2 number, since 2×105516589² = 22267501108389842, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105516581) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52758294 + 52758295.

It is an arithmetic number, because the mean of its divisors is an integer number (52758295).

Almost surely, 2^105516589 is an apocalyptic number.

It is an amenable number.

105516589 is a deficient number, since it is larger than the sum of its proper divisors (1).

105516589 is an equidigital number, since it uses as much as digits as its factorization.

105516589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54000, while the sum is 40.

The square root of 105516589 is about 10272.1268002298. The cubic root of 105516589 is about 472.5418180097.

The spelling of 105516589 in words is "one hundred five million, five hundred sixteen thousand, five hundred eighty-nine".