105823409 has 2 divisors, whose sum is σ = 105823410. Its totient is φ = 105823408.

The previous prime is 105823381. The next prime is 105823439. The reversal of 105823409 is 904328501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58599025 + 47224384 = 7655^2 + 6872^2 .

It is a cyclic number.

It is not a de Polignac number, because 105823409 - 2⁸ = 105823153 is a prime.

It is a super-2 number, since 2×105823409² = 22397187784762562, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105823439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52911704 + 52911705.

It is an arithmetic number, because the mean of its divisors is an integer number (52911705).

Almost surely, 2^105823409 is an apocalyptic number.

It is an amenable number.

105823409 is a deficient number, since it is larger than the sum of its proper divisors (1).

105823409 is an equidigital number, since it uses as much as digits as its factorization.

105823409 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 105823409 is about 10287.0505491127. The cubic root of 105823409 is about 472.9993921209. Note that the first 3 decimals are identical.

The spelling of 105823409 in words is "one hundred five million, eight hundred twenty-three thousand, four hundred nine".