105456409 has 2 divisors, whose sum is σ = 105456410. Its totient is φ = 105456408.

The previous prime is 105456359. The next prime is 105456413. The reversal of 105456409 is 904654501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79923600 + 25532809 = 8940^2 + 5053^2 .

It is a cyclic number.

It is not a de Polignac number, because 105456409 - 2¹⁵ = 105423641 is a prime.

It is a super-2 number, since 2×105456409² = 22242108398350562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105456809) 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, 52728204 + 52728205.

It is an arithmetic number, because the mean of its divisors is an integer number (52728205).

Almost surely, 2^105456409 is an apocalyptic number.

It is an amenable number.

105456409 is a deficient number, since it is larger than the sum of its proper divisors (1).

105456409 is an equidigital number, since it uses as much as digits as its factorization.

105456409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 105456409 is about 10269.1970961707. The cubic root of 105456409 is about 472.4519649199.

The spelling of 105456409 in words is "one hundred five million, four hundred fifty-six thousand, four hundred nine".