105214253233 has 2 divisors, whose sum is σ = 105214253234. Its totient is φ = 105214253232.

The previous prime is 105214253201. The next prime is 105214253237. The reversal of 105214253233 is 332352412501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97089574464 + 8124678769 = 311592^2 + 90137^2 .

It is a cyclic number.

It is not a de Polignac number, because 105214253233 - 2⁵ = 105214253201 is a prime.

It is a super-3 number, since 3×105214253233³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105214253195 and 105214253204.

It is not a weakly prime, because it can be changed into another prime (105214253237) 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 as a sum of consecutive naturals, namely, 52607126616 + 52607126617.

It is an arithmetic number, because the mean of its divisors is an integer number (52607126617).

Almost surely, 2^105214253233 is an apocalyptic number.

It is an amenable number.

105214253233 is a deficient number, since it is larger than the sum of its proper divisors (1).

105214253233 is an equidigital number, since it uses as much as digits as its factorization.

105214253233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 105214253233 its reverse (332352412501), we get a palindrome (437566665734).

The spelling of 105214253233 in words is "one hundred five billion, two hundred fourteen million, two hundred fifty-three thousand, two hundred thirty-three".