105065189 has 2 divisors, whose sum is σ = 105065190. Its totient is φ = 105065188.

The previous prime is 105065159. The next prime is 105065197. The reversal of 105065189 is 981560501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78180964 + 26884225 = 8842^2 + 5185^2 .

It is a cyclic number.

It is not a de Polignac number, because 105065189 - 2⁸ = 105064933 is a prime.

It is a super-2 number, since 2×105065189² = 22077387879211442, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105065159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52532594 + 52532595.

It is an arithmetic number, because the mean of its divisors is an integer number (52532595).

Almost surely, 2^105065189 is an apocalyptic number.

It is an amenable number.

105065189 is a deficient number, since it is larger than the sum of its proper divisors (1).

105065189 is an equidigital number, since it uses as much as digits as its factorization.

105065189 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 35.

The square root of 105065189 is about 10250.1311698924. The cubic root of 105065189 is about 471.8670101362.

The spelling of 105065189 in words is "one hundred five million, sixty-five thousand, one hundred eighty-nine".