105405323 has 2 divisors, whose sum is σ = 105405324. Its totient is φ = 105405322.

The previous prime is 105405283. The next prime is 105405337. The reversal of 105405323 is 323504501.

It is a strong prime.

It is an emirp because it is prime and its reverse (323504501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105405323 - 2¹⁸ = 105143179 is a prime.

It is a super-2 number, since 2×105405323² = 22220564233468658, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105405373) 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, 52702661 + 52702662.

It is an arithmetic number, because the mean of its divisors is an integer number (52702662).

Almost surely, 2^105405323 is an apocalyptic number.

105405323 is a deficient number, since it is larger than the sum of its proper divisors (1).

105405323 is an equidigital number, since it uses as much as digits as its factorization.

105405323 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800, while the sum is 23.

The square root of 105405323 is about 10266.7094533740. The cubic root of 105405323 is about 472.3756629998.

Adding to 105405323 its reverse (323504501), we get a palindrome (428909824).

The spelling of 105405323 in words is "one hundred five million, four hundred five thousand, three hundred twenty-three".