105034335133 has 16 divisors (see below), whose sum is σ = 129372082560. Its totient is φ = 83040411456.

The previous prime is 105034335103. The next prime is 105034335149. The reversal of 105034335133 is 331533430501.

It is a cyclic number.

It is not a de Polignac number, because 105034335133 - 2⁹ = 105034334621 is a prime.

It is a super-2 number, since 2×105034335133² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105034335095 and 105034335104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105034335103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322618 + ... + 560491.

It is an arithmetic number, because the mean of its divisors is an integer number (8085755160).

Almost surely, 2^105034335133 is an apocalyptic number.

105034335133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105034335133 is a deficient number, since it is larger than the sum of its proper divisors (24337747427).

105034335133 is a wasteful number, since it uses less digits than its factorization.

105034335133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884436.

The product of its (nonzero) digits is 24300, while the sum is 31.

Adding to 105034335133 its reverse (331533430501), we get a palindrome (436567765634).

The spelling of 105034335133 in words is "one hundred five billion, thirty-four million, three hundred thirty-five thousand, one hundred thirty-three".