105342536233 has 12 divisors (see below), whose sum is σ = 120824069184. Its totient is φ = 91602203000.

The previous prime is 105342536207. The next prime is 105342536251. The reversal of 105342536233 is 332635243501.

It is not a de Polignac number, because 105342536233 - 2¹³ = 105342528041 is a prime.

It is a super-2 number, since 2×105342536233² (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 = 105342536192 and 105342536201.

It is not an unprimeable number, because it can be changed into a prime (105342536833) 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 11 ways as a sum of consecutive naturals, for example, 18923293 + ... + 18928858.

It is an arithmetic number, because the mean of its divisors is an integer number (10068672432).

Almost surely, 2^105342536233 is an apocalyptic number.

It is an amenable number.

105342536233 is a deficient number, since it is larger than the sum of its proper divisors (15481532951).

105342536233 is a wasteful number, since it uses less digits than its factorization.

105342536233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37852196 (or 37852185 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 37.

Adding to 105342536233 its reverse (332635243501), we get a palindrome (437977779734).

The spelling of 105342536233 in words is "one hundred five billion, three hundred forty-two million, five hundred thirty-six thousand, two hundred thirty-three".