105088609 has 2 divisors, whose sum is σ = 105088610. Its totient is φ = 105088608.

The previous prime is 105088579. The next prime is 105088631. The reversal of 105088609 is 906880501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102576384 + 2512225 = 10128^2 + 1585^2 .

It is a cyclic number.

It is not a de Polignac number, because 105088609 - 2⁹ = 105088097 is a prime.

It is a super-2 number, since 2×105088609² = 22087231483109762, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105088409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52544304 + 52544305.

It is an arithmetic number, because the mean of its divisors is an integer number (52544305).

Almost surely, 2^105088609 is an apocalyptic number.

It is an amenable number.

105088609 is a deficient number, since it is larger than the sum of its proper divisors (1).

105088609 is an equidigital number, since it uses as much as digits as its factorization.

105088609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 105088609 is about 10251.2735306400. The cubic root of 105088609 is about 471.9020687014.

The spelling of 105088609 in words is "one hundred five million, eighty-eight thousand, six hundred nine".