105535033 has 2 divisors, whose sum is σ = 105535034. Its totient is φ = 105535032.

The previous prime is 105535021. The next prime is 105535057. The reversal of 105535033 is 330535501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65237929 + 40297104 = 8077^2 + 6348^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105535033 is a prime.

It is a super-2 number, since 2×105535033² = 22275286380622178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105534989 and 105535007.

It is not a weakly prime, because it can be changed into another prime (105535013) 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, 52767516 + 52767517.

It is an arithmetic number, because the mean of its divisors is an integer number (52767517).

Almost surely, 2^105535033 is an apocalyptic number.

It is an amenable number.

105535033 is a deficient number, since it is larger than the sum of its proper divisors (1).

105535033 is an equidigital number, since it uses as much as digits as its factorization.

105535033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3375, while the sum is 25.

The square root of 105535033 is about 10273.0245302929. The cubic root of 105535033 is about 472.5693493947.

The spelling of 105535033 in words is "one hundred five million, five hundred thirty-five thousand, thirty-three".