33000105 has 16 divisors (see below), whose sum is σ = 53078400. Its totient is φ = 17507328.

The previous prime is 33000103. The next prime is 33000119. The reversal of 33000105 is 50100033.

It is a happy number.

It is not a de Polignac number, because 33000105 - 2¹ = 33000103 is a prime.

It is a super-2 number, since 2×33000105² = 2178013860022050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33000103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2805 + ... + 8594.

It is an arithmetic number, because the mean of its divisors is an integer number (3317400).

Almost surely, 2^33000105 is an apocalyptic number.

It is an amenable number.

33000105 is a deficient number, since it is larger than the sum of its proper divisors (20078295).

33000105 is a wasteful number, since it uses less digits than its factorization.

33000105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11600.

The product of its (nonzero) digits is 45, while the sum is 12.

The square root of 33000105 is about 5744.5717856077. The cubic root of 33000105 is about 320.7537731923.

Adding to 33000105 its reverse (50100033), we get a palindrome (83100138).

The spelling of 33000105 in words is "thirty-three million, one hundred five", and thus it is an aban number.