105535353013 has 2 divisors, whose sum is σ = 105535353014. Its totient is φ = 105535353012.

The previous prime is 105535352971. The next prime is 105535353061. The reversal of 105535353013 is 310353535501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92770194724 + 12765158289 = 304582^2 + 112983^2 .

It is a cyclic number.

It is not a de Polignac number, because 105535353013 - 2²⁹ = 104998482101 is a prime.

It is a super-2 number, since 2×105535353013² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105535353013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105535323013) 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, 52767676506 + 52767676507.

It is an arithmetic number, because the mean of its divisors is an integer number (52767676507).

Almost surely, 2^105535353013 is an apocalyptic number.

It is an amenable number.

105535353013 is a deficient number, since it is larger than the sum of its proper divisors (1).

105535353013 is an equidigital number, since it uses as much as digits as its factorization.

105535353013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 50625, while the sum is 34.

Adding to 105535353013 its reverse (310353535501), we get a palindrome (415888888514).

The spelling of 105535353013 in words is "one hundred five billion, five hundred thirty-five million, three hundred fifty-three thousand, thirteen".