105343117327470 has 64 divisors (see below), whose sum is σ = 278385074125056. Its totient is φ = 25299055073280.

The previous prime is 105343117327457. The next prime is 105343117327489. The reversal of 105343117327470 is 74723711343501.

It is a super-6 number, since 6×105343117327470⁶ (a number of 85 digits) contains 666666 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1491654259 + ... + 1491724878.

It is an arithmetic number, because the mean of its divisors is an integer number (4349766783204).

Almost surely, 2^{105343117327470} is an apocalyptic number.

105343117327470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105343117327470 is an abundant number, since it is smaller than the sum of its proper divisors (173041956797586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105343117327470 is a wasteful number, since it uses less digits than its factorization.

105343117327470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983379265.

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 105343117327470 in words is "one hundred five trillion, three hundred forty-three billion, one hundred seventeen million, three hundred twenty-seven thousand, four hundred seventy".