33105042 has 12 divisors (see below), whose sum is σ = 71727630. Its totient is φ = 11035008.

The previous prime is 33105041. The next prime is 33105109. The reversal of 33105042 is 24050133.

It can be written as a sum of positive squares in only one way, i.e., 32936121 + 168921 = 5739^2 + 411^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 1839169 = 33105042 / (3 + 3 + 1 + 0 + 5 + 0 + 4 + 2).

It is not an unprimeable number, because it can be changed into a prime (33105041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 919567 + ... + 919602.

Almost surely, 2^33105042 is an apocalyptic number.

33105042 is an abundant number, since it is smaller than the sum of its proper divisors (38622588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33105042 is a wasteful number, since it uses less digits than its factorization.

33105042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839177 (or 1839174 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 33105042 is about 5753.6981151256. The cubic root of 33105042 is about 321.0934016495.

Adding to 33105042 its reverse (24050133), we get a palindrome (57155175).

The spelling of 33105042 in words is "thirty-three million, one hundred five thousand, forty-two".