105352350420013 has 8 divisors (see below), whose sum is σ = 105587639548160. Its totient is φ = 105117260608800.

The previous prime is 105352350419989. The next prime is 105352350420019. The reversal of 105352350420013 is 310024053253501.

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 105352350420013 - 2⁹ = 105352350419501 is a prime.

It is a super-2 number, since 2×105352350420013² (a number of 29 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 (105352350420019) 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 7 ways as a sum of consecutive naturals, for example, 48770895 + ... + 50885212.

It is an arithmetic number, because the mean of its divisors is an integer number (13198454943520).

Almost surely, 2^{105352350420013} is an apocalyptic number.

It is an amenable number.

105352350420013 is a deficient number, since it is larger than the sum of its proper divisors (235289128147).

105352350420013 is an equidigital number, since it uses as much as digits as its factorization.

105352350420013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99658467.

The product of its (nonzero) digits is 54000, while the sum is 34.

The spelling of 105352350420013 in words is "one hundred five trillion, three hundred fifty-two billion, three hundred fifty million, four hundred twenty thousand, thirteen".