105106333 has 2 divisors, whose sum is σ = 105106334. Its totient is φ = 105106332.

The previous prime is 105106321. The next prime is 105106361. The reversal of 105106333 is 333601501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102373924 + 2732409 = 10118^2 + 1653^2 .

It is an emirp because it is prime and its reverse (333601501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105106333 - 2⁹ = 105105821 is a prime.

It is a super-2 number, since 2×105106333² = 22094682473413778, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105106363) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52553166 + 52553167.

It is an arithmetic number, because the mean of its divisors is an integer number (52553167).

Almost surely, 2^105106333 is an apocalyptic number.

It is an amenable number.

105106333 is a deficient number, since it is larger than the sum of its proper divisors (1).

105106333 is an equidigital number, since it uses as much as digits as its factorization.

105106333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 810, while the sum is 22.

The square root of 105106333 is about 10252.1379721500. The cubic root of 105106333 is about 471.9285971780.

Adding to 105106333 its reverse (333601501), we get a palindrome (438707834).

The spelling of 105106333 in words is "one hundred five million, one hundred six thousand, three hundred thirty-three".