105034688033 has 24 divisors (see below), whose sum is σ = 119220638208. Its totient is φ = 92370960000.

The previous prime is 105034687963. The next prime is 105034688069. The reversal of 105034688033 is 330886430501.

It is not a de Polignac number, because 105034688033 - 2²⁴ = 105017910817 is a prime.

It is a super-2 number, since 2×105034688033² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105034687033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19626308 + ... + 19631658.

It is an arithmetic number, because the mean of its divisors is an integer number (4967526592).

Almost surely, 2^105034688033 is an apocalyptic number.

It is an amenable number.

105034688033 is a deficient number, since it is larger than the sum of its proper divisors (14185950175).

105034688033 is a wasteful number, since it uses less digits than its factorization.

105034688033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10637 (or 10626 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

It can be divided in two parts, 10503468 and 8033, that added together give a palindrome (10511501).

The spelling of 105034688033 in words is "one hundred five billion, thirty-four million, six hundred eighty-eight thousand, thirty-three".