105343117327469 has 16 divisors (see below), whose sum is σ = 120412976140800. Its totient is φ = 90278470211760.

The previous prime is 105343117327457. The next prime is 105343117327489. The reversal of 105343117327469 is 964723711343501.

It is a cyclic number.

It is not a de Polignac number, because 105343117327469 - 2⁴ = 105343117327453 is a prime.

It is a super-3 number, since 3×105343117327469³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105343117327489) 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 15 ways as a sum of consecutive naturals, for example, 1794602882 + ... + 1794661580.

It is an arithmetic number, because the mean of its divisors is an integer number (7525811008800).

Almost surely, 2^{105343117327469} is an apocalyptic number.

It is an amenable number.

105343117327469 is a deficient number, since it is larger than the sum of its proper divisors (15069858813331).

105343117327469 is an equidigital number, since it uses as much as digits as its factorization.

105343117327469 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98720.

The product of its (nonzero) digits is 11430720, while the sum is 56.

The spelling of 105343117327469 in words is "one hundred five trillion, three hundred forty-three billion, one hundred seventeen million, three hundred twenty-seven thousand, four hundred sixty-nine".