105405409 has 2 divisors, whose sum is σ = 105405410. Its totient is φ = 105405408.

The previous prime is 105405373. The next prime is 105405463. The reversal of 105405409 is 904504501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70560000 + 34845409 = 8400^2 + 5903^2 .

It is a cyclic number.

It is not a de Polignac number, because 105405409 - 2¹³ = 105397217 is a prime.

It is a super-2 number, since 2×105405409² = 22220600492914562, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105405479) 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, 52702704 + 52702705.

It is an arithmetic number, because the mean of its divisors is an integer number (52702705).

Almost surely, 2^105405409 is an apocalyptic number.

It is an amenable number.

105405409 is a deficient number, since it is larger than the sum of its proper divisors (1).

105405409 is an equidigital number, since it uses as much as digits as its factorization.

105405409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 105405409 is about 10266.7136416674. The cubic root of 105405409 is about 472.3757914699.

The spelling of 105405409 in words is "one hundred five million, four hundred five thousand, four hundred nine".