105430735313 has 8 divisors (see below), whose sum is σ = 109089757800. Its totient is φ = 101773278208.

The previous prime is 105430735297. The next prime is 105430735327. The reversal of 105430735313 is 313537034501.

It can be written as a sum of positive squares in 4 ways, for example, as 49269793024 + 56160942289 = 221968^2 + 236983^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105430735313 - 2⁴ = 105430735297 is a prime.

It is a super-2 number, since 2×105430735313² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105430735343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253478 + ... + 524511.

It is an arithmetic number, because the mean of its divisors is an integer number (13636219725).

Almost surely, 2^105430735313 is an apocalyptic number.

It is an amenable number.

105430735313 is a deficient number, since it is larger than the sum of its proper divisors (3659022487).

105430735313 is an equidigital number, since it uses as much as digits as its factorization.

105430735313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782691.

The product of its (nonzero) digits is 56700, while the sum is 35.

Adding to 105430735313 its reverse (313537034501), we get a palindrome (418967769814).

The spelling of 105430735313 in words is "one hundred five billion, four hundred thirty million, seven hundred thirty-five thousand, three hundred thirteen".