105234423133 has 16 divisors (see below), whose sum is σ = 120920722560. Its totient is φ = 89711649216.

The previous prime is 105234423121. The next prime is 105234423137. The reversal of 105234423133 is 331324432501.

It is a happy number.

It is not a de Polignac number, because 105234423133 - 2¹⁷ = 105234292061 is a prime.

It is a super-2 number, since 2×105234423133² (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 = 105234423095 and 105234423104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105234423137) 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, 4474158 + ... + 4497616.

It is an arithmetic number, because the mean of its divisors is an integer number (7557545160).

Almost surely, 2^105234423133 is an apocalyptic number.

It is an amenable number.

105234423133 is a deficient number, since it is larger than the sum of its proper divisors (15686299427).

105234423133 is a wasteful number, since it uses less digits than its factorization.

105234423133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26916.

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 105234423133 its reverse (331324432501), we get a palindrome (436558855634).

The spelling of 105234423133 in words is "one hundred five billion, two hundred thirty-four million, four hundred twenty-three thousand, one hundred thirty-three".