105105203043313 has 8 divisors (see below), whose sum is σ = 114662198042496. Its totient is φ = 95548537467600.

The previous prime is 105105203043287. The next prime is 105105203043349. The reversal of 105105203043313 is 313340302501501.

It is a happy number.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105105203043313 is a prime.

It is a super-2 number, since 2×105105203043313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105105203043353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 81688506 + ... + 82965187.

It is an arithmetic number, because the mean of its divisors is an integer number (14332774755312).

Almost surely, 2^{105105203043313} is an apocalyptic number.

It is an amenable number.

105105203043313 is a deficient number, since it is larger than the sum of its proper divisors (9556994999183).

105105203043313 is a wasteful number, since it uses less digits than its factorization.

105105203043313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164711735.

The product of its (nonzero) digits is 16200, while the sum is 31.

Adding to 105105203043313 its reverse (313340302501501), we get a palindrome (418445505544814).

The spelling of 105105203043313 in words is "one hundred five trillion, one hundred five billion, two hundred three million, forty-three thousand, three hundred thirteen".