105388410803313 has 8 divisors (see below), whose sum is σ = 153292233895776. Its totient is φ = 63871764123200.

The previous prime is 105388410803261. The next prime is 105388410803323. The reversal of 105388410803313 is 313308014883501.

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

It is not a de Polignac number, because 105388410803313 - 2¹⁰ = 105388410802289 is a prime.

It is a super-2 number, since 2×105388410803313² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105388410803323) 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, 1596794103048 + ... + 1596794103113.

It is an arithmetic number, because the mean of its divisors is an integer number (19161529236972).

Almost surely, 2^{105388410803313} is an apocalyptic number.

It is an amenable number.

105388410803313 is a deficient number, since it is larger than the sum of its proper divisors (47903823092463).

105388410803313 is a wasteful number, since it uses less digits than its factorization.

105388410803313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3193588206175.

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 105388410803313 in words is "one hundred five trillion, three hundred eighty-eight billion, four hundred ten million, eight hundred three thousand, three hundred thirteen".