105212323 has 2 divisors, whose sum is σ = 105212324. Its totient is φ = 105212322.

The previous prime is 105212321. The next prime is 105212347. The reversal of 105212323 is 323212501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105212323 - 2¹ = 105212321 is a prime.

It is a super-2 number, since 2×105212323² = 22139265822112658, which contains 22 as substring.

Together with 105212321, it forms a pair of twin primes.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105212323.

It is not a weakly prime, because it can be changed into another prime (105212321) 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, 52606161 + 52606162.

It is an arithmetic number, because the mean of its divisors is an integer number (52606162).

Almost surely, 2^105212323 is an apocalyptic number.

105212323 is a deficient number, since it is larger than the sum of its proper divisors (1).

105212323 is an equidigital number, since it uses as much as digits as its factorization.

105212323 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 105212323 is about 10257.3058353546. The cubic root of 105212323 is about 472.0871759765.

Adding to 105212323 its reverse (323212501), we get a palindrome (428424824).

The spelling of 105212323 in words is "one hundred five million, two hundred twelve thousand, three hundred twenty-three".