33042153105 has 96 divisors (see below), whose sum is σ = 67072640544. Its totient is φ = 14896078848.

The previous prime is 33042153043. The next prime is 33042153107. The reversal of 33042153105 is 50135124033.

33042153105 is a `hidden beast` number, since 330 + 4 + 2 + 15 + 310 + 5 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6258866769 + 26783286336 = 79113^2 + 163656^2 .

It is not a de Polignac number, because 33042153105 - 2⁹ = 33042152593 is a prime.

It is a super-2 number, since 2×33042153105² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33042153107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323067 + ... + 412863.

It is an arithmetic number, because the mean of its divisors is an integer number (698673339).

Almost surely, 2^33042153105 is an apocalyptic number.

It is an amenable number.

33042153105 is an abundant number, since it is smaller than the sum of its proper divisors (34030487439).

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

33042153105 is a wasteful number, since it uses less digits than its factorization.

33042153105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89875 (or 89872 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 33042153105 its reverse (50135124033), we get a palindrome (83177277138).

The spelling of 33042153105 in words is "thirty-three billion, forty-two million, one hundred fifty-three thousand, one hundred five".