105033233000242 has 32 divisors (see below), whose sum is σ = 164264750305920. Its totient is φ = 50306987552640.

The previous prime is 105033233000219. The next prime is 105033233000263. The reversal of 105033233000242 is 242000332330501.

It is a super-2 number, since 2×105033233000242² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105033233000242.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31279158 + ... + 34473934.

It is an arithmetic number, because the mean of its divisors is an integer number (5133273447060).

Almost surely, 2^{105033233000242} is an apocalyptic number.

105033233000242 is a deficient number, since it is larger than the sum of its proper divisors (59231517305678).

105033233000242 is a wasteful number, since it uses less digits than its factorization.

105033233000242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3199266.

The product of its (nonzero) digits is 12960, while the sum is 28.

Adding to 105033233000242 its reverse (242000332330501), we get a palindrome (347033565330743).

The spelling of 105033233000242 in words is "one hundred five trillion, thirty-three billion, two hundred thirty-three million, two hundred forty-two", and thus it is an aban number.