105113233 has 2 divisors, whose sum is σ = 105113234. Its totient is φ = 105113232.

The previous prime is 105113231. The next prime is 105113249. The reversal of 105113233 is 332311501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 68425984 + 36687249 = 8272^2 + 6057^2 .

It is a cyclic number.

It is not a de Polignac number, because 105113233 - 2¹ = 105113231 is a prime.

It is a super-2 number, since 2×105113233² = 22097583503424578, which contains 22 as substring.

Together with 105113231, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 105113233.

It is not a weakly prime, because it can be changed into another prime (105113231) 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, 52556616 + 52556617.

It is an arithmetic number, because the mean of its divisors is an integer number (52556617).

Almost surely, 2^105113233 is an apocalyptic number.

It is an amenable number.

105113233 is a deficient number, since it is larger than the sum of its proper divisors (1).

105113233 is an equidigital number, since it uses as much as digits as its factorization.

105113233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 105113233 is about 10252.4744818019. The cubic root of 105113233 is about 471.9389239774.

Adding to 105113233 its reverse (332311501), we get a palindrome (437424734).

The spelling of 105113233 in words is "one hundred five million, one hundred thirteen thousand, two hundred thirty-three".