105350164334213 has 8 divisors (see below), whose sum is σ = 106149356740728. Its totient is φ = 104553158501824.

The previous prime is 105350164334203. The next prime is 105350164334221. The reversal of 105350164334213 is 312433461053501.

It can be written as a sum of positive squares in 4 ways, for example, as 48192224811844 + 57157939522369 = 6942062^2 + 7560287^2 .

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 105350164334213 - 2²⁸ = 105349895898757 is a prime.

It is a super-2 number, since 2×105350164334213² (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 (105350164334203) 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, 546546806 + ... + 546739527.

It is an arithmetic number, because the mean of its divisors is an integer number (13268669592591).

Almost surely, 2^{105350164334213} is an apocalyptic number.

It is an amenable number.

105350164334213 is a deficient number, since it is larger than the sum of its proper divisors (799192406515).

105350164334213 is a wasteful number, since it uses less digits than its factorization.

105350164334213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1093287063.

The product of its (nonzero) digits is 388800, while the sum is 41.

The spelling of 105350164334213 in words is "one hundred five trillion, three hundred fifty billion, one hundred sixty-four million, three hundred thirty-four thousand, two hundred thirteen".