105090709 has 2 divisors, whose sum is σ = 105090710. Its totient is φ = 105090708.

The previous prime is 105090677. The next prime is 105090761. The reversal of 105090709 is 907090501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75082225 + 30008484 = 8665^2 + 5478^2 .

It is a cyclic number.

It is not a de Polignac number, because 105090709 - 2⁵ = 105090677 is a prime.

It is a super-2 number, since 2×105090709² = 22088114236245362, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105091709) 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, 52545354 + 52545355.

It is an arithmetic number, because the mean of its divisors is an integer number (52545355).

Almost surely, 2^105090709 is an apocalyptic number.

It is an amenable number.

105090709 is a deficient number, since it is larger than the sum of its proper divisors (1).

105090709 is an equidigital number, since it uses as much as digits as its factorization.

105090709 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 31.

The square root of 105090709 is about 10251.3759564265. The cubic root of 105090709 is about 471.9052120416.

The spelling of 105090709 in words is "one hundred five million, ninety thousand, seven hundred nine".