105452387713 has 2 divisors, whose sum is σ = 105452387714. Its totient is φ = 105452387712.

The previous prime is 105452387701. The next prime is 105452387741. The reversal of 105452387713 is 317783254501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 65240908929 + 40211478784 = 255423^2 + 200528^2 .

It is a cyclic number.

It is not a de Polignac number, because 105452387713 - 2¹⁷ = 105452256641 is a prime.

It is a super-2 number, since 2×105452387713² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105452387743) 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 as a sum of consecutive naturals, namely, 52726193856 + 52726193857.

It is an arithmetic number, because the mean of its divisors is an integer number (52726193857).

Almost surely, 2^105452387713 is an apocalyptic number.

It is an amenable number.

105452387713 is a deficient number, since it is larger than the sum of its proper divisors (1).

105452387713 is an equidigital number, since it uses as much as digits as its factorization.

105452387713 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 705600, while the sum is 46.

The spelling of 105452387713 in words is "one hundred five billion, four hundred fifty-two million, three hundred eighty-seven thousand, seven hundred thirteen".