106000033 has 2 divisors, whose sum is σ = 106000034. Its totient is φ = 106000032.

The previous prime is 106000007. The next prime is 106000057. The reversal of 106000033 is 330000601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101364624 + 4635409 = 10068^2 + 2153^2 .

It is a cyclic number.

It is not a de Polignac number, because 106000033 - 2⁵ = 106000001 is a prime.

It is a super-2 number, since 2×106000033² = 22472013992002178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105999977 and 106000022.

It is not a weakly prime, because it can be changed into another prime (106000073) 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, 53000016 + 53000017.

It is an arithmetic number, because the mean of its divisors is an integer number (53000017).

Almost surely, 2^106000033 is an apocalyptic number.

It is an amenable number.

106000033 is a deficient number, since it is larger than the sum of its proper divisors (1).

106000033 is an equidigital number, since it uses as much as digits as its factorization.

106000033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 106000033 is about 10295.6317436085. The cubic root of 106000033 is about 473.2623982285.

Adding to 106000033 its reverse (330000601), we get a palindrome (436000634).

The spelling of 106000033 in words is "one hundred six million, thirty-three", and thus it is an aban number.