105256633 has 2 divisors, whose sum is σ = 105256634. Its totient is φ = 105256632.

The previous prime is 105256609. The next prime is 105256643. The reversal of 105256633 is 336652501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88585744 + 16670889 = 9412^2 + 4083^2 .

It is an emirp because it is prime and its reverse (336652501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105256633 is a prime.

It is a super-2 number, since 2×105256633² = 22157917580993378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105256595 and 105256604.

It is not a weakly prime, because it can be changed into another prime (105256643) 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, 52628316 + 52628317.

It is an arithmetic number, because the mean of its divisors is an integer number (52628317).

Almost surely, 2^105256633 is an apocalyptic number.

It is an amenable number.

105256633 is a deficient number, since it is larger than the sum of its proper divisors (1).

105256633 is an equidigital number, since it uses as much as digits as its factorization.

105256633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 31.

The square root of 105256633 is about 10259.4655318881. The cubic root of 105256633 is about 472.1534395925.

The spelling of 105256633 in words is "one hundred five million, two hundred fifty-six thousand, six hundred thirty-three".