105113505343 has 16 divisors (see below), whose sum is σ = 131071184640. Its totient is φ = 81893764800.

The previous prime is 105113505337. The next prime is 105113505377. The reversal of 105113505343 is 343505311501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105113505343 is a prime.

It is a super-2 number, since 2×105113505343² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105113505323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401908 + ... + 609718.

It is an arithmetic number, because the mean of its divisors is an integer number (8191949040).

Almost surely, 2^105113505343 is an apocalyptic number.

105113505343 is a deficient number, since it is larger than the sum of its proper divisors (25957679297).

105113505343 is a wasteful number, since it uses less digits than its factorization.

105113505343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214398.

The product of its (nonzero) digits is 13500, while the sum is 31.

Adding to 105113505343 its reverse (343505311501), we get a palindrome (448618816844).

The spelling of 105113505343 in words is "one hundred five billion, one hundred thirteen million, five hundred five thousand, three hundred forty-three".