105473264833 has 2 divisors, whose sum is σ = 105473264834. Its totient is φ = 105473264832.

The previous prime is 105473264801. The next prime is 105473264879. The reversal of 105473264833 is 338462374501.

It is an a-pointer prime, because the next prime (105473264879) can be obtained adding 105473264833 to its sum of digits (46).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99113521329 + 6359743504 = 314823^2 + 79748^2 .

It is an emirp because it is prime and its reverse (338462374501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105473264833 - 2⁵ = 105473264801 is a prime.

It is a super-2 number, since 2×105473264833² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105473262833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52736632416 + 52736632417.

It is an arithmetic number, because the mean of its divisors is an integer number (52736632417).

Almost surely, 2^105473264833 is an apocalyptic number.

It is an amenable number.

105473264833 is a deficient number, since it is larger than the sum of its proper divisors (1).

105473264833 is an equidigital number, since it uses as much as digits as its factorization.

105473264833 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1451520, while the sum is 46.

The spelling of 105473264833 in words is "one hundred five billion, four hundred seventy-three million, two hundred sixty-four thousand, eight hundred thirty-three".