105305530013 has 4 divisors (see below), whose sum is σ = 105376253820. Its totient is φ = 105234806208.

The previous prime is 105305529937. The next prime is 105305530019. The reversal of 105305530013 is 310035503501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 57167853604 + 48137676409 = 239098^2 + 219403^2 .

It is a cyclic number.

It is not a de Polignac number, because 105305530013 - 2³² = 101010562717 is a prime.

It is a super-2 number, since 2×105305530013² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105305530019) 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 in 3 ways as a sum of consecutive naturals, for example, 35359670 + ... + 35362647.

It is an arithmetic number, because the mean of its divisors is an integer number (26344063455).

Almost surely, 2^105305530013 is an apocalyptic number.

It is an amenable number.

105305530013 is a deficient number, since it is larger than the sum of its proper divisors (70723807).

105305530013 is an equidigital number, since it uses as much as digits as its factorization.

105305530013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70723806.

The product of its (nonzero) digits is 3375, while the sum is 26.

The spelling of 105305530013 in words is "one hundred five billion, three hundred five million, five hundred thirty thousand, thirteen".