105832169233 has 16 divisors (see below), whose sum is σ = 126255559680. Its totient is φ = 86800665600.

The previous prime is 105832169231. The next prime is 105832169269. The reversal of 105832169233 is 332961238501.

It is a cyclic number.

It is not a de Polignac number, because 105832169233 - 2¹ = 105832169231 is a prime.

It is a super-2 number, since 2×105832169233² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105832169233.

It is not an unprimeable number, because it can be changed into a prime (105832169231) 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, 2720608 + ... + 2759233.

It is an arithmetic number, because the mean of its divisors is an integer number (7890972480).

Almost surely, 2^105832169233 is an apocalyptic number.

It is an amenable number.

105832169233 is a deficient number, since it is larger than the sum of its proper divisors (20423390447).

105832169233 is an equidigital number, since it uses as much as digits as its factorization.

105832169233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5479968.

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 105832169233 in words is "one hundred five billion, eight hundred thirty-two million, one hundred sixty-nine thousand, two hundred thirty-three".