105948589 has 2 divisors, whose sum is σ = 105948590. Its totient is φ = 105948588.

The previous prime is 105948547. The next prime is 105948593. The reversal of 105948589 is 985849501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102212100 + 3736489 = 10110^2 + 1933^2 .

It is a cyclic number.

It is not a de Polignac number, because 105948589 - 2⁹ = 105948077 is a prime.

It is a super-2 number, since 2×105948589² = 22450207022181842, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105948509) 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, 52974294 + 52974295.

It is an arithmetic number, because the mean of its divisors is an integer number (52974295).

Almost surely, 2^105948589 is an apocalyptic number.

It is an amenable number.

105948589 is a deficient number, since it is larger than the sum of its proper divisors (1).

105948589 is an equidigital number, since it uses as much as digits as its factorization.

105948589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 518400, while the sum is 49.

The square root of 105948589 is about 10293.1330993046. The cubic root of 105948589 is about 473.1858245086.

The spelling of 105948589 in words is "one hundred five million, nine hundred forty-eight thousand, five hundred eighty-nine".