105343353504131 has 8 divisors (see below), whose sum is σ = 105514209518784. Its totient is φ = 105172582605120.

The previous prime is 105343353504097. The next prime is 105343353504143. The reversal of 105343353504131 is 131405353343501.

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 105343353504131 - 2²² = 105343349309827 is a prime.

It is a super-2 number, since 2×105343353504131² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105343353504161) 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, 18801371 + ... + 23752436.

It is an arithmetic number, because the mean of its divisors is an integer number (13189276189848).

Almost surely, 2^{105343353504131} is an apocalyptic number.

105343353504131 is a deficient number, since it is larger than the sum of its proper divisors (170856014653).

105343353504131 is an equidigital number, since it uses as much as digits as its factorization.

105343353504131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42557821.

The product of its (nonzero) digits is 486000, while the sum is 41.

The spelling of 105343353504131 in words is "one hundred five trillion, three hundred forty-three billion, three hundred fifty-three million, five hundred four thousand, one hundred thirty-one".