105473264753 has 2 divisors, whose sum is σ = 105473264754. Its totient is φ = 105473264752.

The previous prime is 105473264731. The next prime is 105473264801. The reversal of 105473264753 is 357462374501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54916641649 + 50556623104 = 234343^2 + 224848^2 .

It is a cyclic number.

It is not a de Polignac number, because 105473264753 - 2¹⁰ = 105473263729 is a prime.

It is a super-2 number, since 2×105473264753² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105473264698 and 105473264707.

It is not a weakly prime, because it can be changed into another prime (105473264723) 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, 52736632376 + 52736632377.

It is an arithmetic number, because the mean of its divisors is an integer number (52736632377).

Almost surely, 2^105473264753 is an apocalyptic number.

It is an amenable number.

105473264753 is a deficient number, since it is larger than the sum of its proper divisors (1).

105473264753 is an equidigital number, since it uses as much as digits as its factorization.

105473264753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2116800, while the sum is 47.

The spelling of 105473264753 in words is "one hundred five billion, four hundred seventy-three million, two hundred sixty-four thousand, seven hundred fifty-three".