33105109 has 2 divisors, whose sum is σ = 33105110. Its totient is φ = 33105108.

The previous prime is 33105041. The next prime is 33105133. The reversal of 33105109 is 90150133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33097009 + 8100 = 5753^2 + 90^2 .

It is a cyclic number.

It is not a de Polignac number, because 33105109 - 2⁹ = 33104597 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 33105109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33105139) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16552554 + 16552555.

It is an arithmetic number, because the mean of its divisors is an integer number (16552555).

Almost surely, 2^33105109 is an apocalyptic number.

It is an amenable number.

33105109 is a deficient number, since it is larger than the sum of its proper divisors (1).

33105109 is an equidigital number, since it uses as much as digits as its factorization.

33105109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 405, while the sum is 22.

The square root of 33105109 is about 5753.7039374650. The cubic root of 33105109 is about 321.0936182655.

The spelling of 33105109 in words is "thirty-three million, one hundred five thousand, one hundred nine".