105356033 has 2 divisors, whose sum is σ = 105356034. Its totient is φ = 105356032.

The previous prime is 105356003. The next prime is 105356047. The reversal of 105356033 is 330653501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89737729 + 15618304 = 9473^2 + 3952^2 .

It is a cyclic number.

It is not a de Polignac number, because 105356033 - 2⁸ = 105355777 is a prime.

It is a super-2 number, since 2×105356033² = 22199787378994178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105355993 and 105356011.

It is not a weakly prime, because it can be changed into another prime (105356003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52678016 + 52678017.

It is an arithmetic number, because the mean of its divisors is an integer number (52678017).

Almost surely, 2^105356033 is an apocalyptic number.

It is an amenable number.

105356033 is a deficient number, since it is larger than the sum of its proper divisors (1).

105356033 is an equidigital number, since it uses as much as digits as its factorization.

105356033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4050, while the sum is 26.

The square root of 105356033 is about 10264.3086956697. The cubic root of 105356033 is about 472.3020202084.

The spelling of 105356033 in words is "one hundred five million, three hundred fifty-six thousand, thirty-three".