105330336263305 has 64 divisors (see below), whose sum is σ = 139886258895360. Its totient is φ = 75779807330304.

The previous prime is 105330336263303. The next prime is 105330336263311. The reversal of 105330336263305 is 503362633033501.

It is a cyclic number.

It is not a de Polignac number, because 105330336263305 - 2¹ = 105330336263303 is a prime.

It is a super-2 number, since 2×105330336263305² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105330336263303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1106630877 + ... + 1106726053.

It is an arithmetic number, because the mean of its divisors is an integer number (2185722795240).

Almost surely, 2^{105330336263305} is an apocalyptic number.

It is an amenable number.

105330336263305 is a deficient number, since it is larger than the sum of its proper divisors (34555922632055).

105330336263305 is a wasteful number, since it uses less digits than its factorization.

105330336263305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99058.

The product of its (nonzero) digits is 1312200, while the sum is 43.

Adding to 105330336263305 its reverse (503362633033501), we get a palindrome (608692969296806).

The spelling of 105330336263305 in words is "one hundred five trillion, three hundred thirty billion, three hundred thirty-six million, two hundred sixty-three thousand, three hundred five".