105834422233 has 16 divisors (see below), whose sum is σ = 112395563280. Its totient is φ = 99310934016.

The previous prime is 105834422227. The next prime is 105834422261. The reversal of 105834422233 is 332224438501.

It can be written as a sum of positive squares in 8 ways, for example, as 860366224 + 104974056009 = 29332^2 + 323997^2 .

It is not a de Polignac number, because 105834422233 - 2⁵ = 105834422201 is a prime.

It is a super-2 number, since 2×105834422233² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105834422192 and 105834422201.

It is not an unprimeable number, because it can be changed into a prime (105834422203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11097135 + ... + 11106667.

It is an arithmetic number, because the mean of its divisors is an integer number (7024722705).

Almost surely, 2^105834422233 is an apocalyptic number.

It is an amenable number.

105834422233 is a deficient number, since it is larger than the sum of its proper divisors (6561141047).

105834422233 is a wasteful number, since it uses less digits than its factorization.

105834422233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11436.

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 105834422233 in words is "one hundred five billion, eight hundred thirty-four million, four hundred twenty-two thousand, two hundred thirty-three".