105354122643 has 48 divisors (see below), whose sum is σ = 191860531200. Its totient is φ = 54114445440.

The previous prime is 105354122639. The next prime is 105354122719. The reversal of 105354122643 is 346221453501.

105354122643 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 5 + 4 + 1 + 2 + 2 + 643 = 666.

It is not a de Polignac number, because 105354122643 - 2² = 105354122639 is a prime.

It is a super-2 number, since 2×105354122643² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105354122598 and 105354122607.

It is not an unprimeable number, because it can be changed into a prime (105354122623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 792403 + ... + 915756.

It is an arithmetic number, because the mean of its divisors is an integer number (3997094400).

Almost surely, 2^105354122643 is an apocalyptic number.

105354122643 is a deficient number, since it is larger than the sum of its proper divisors (86506408557).

105354122643 is a wasteful number, since it uses less digits than its factorization.

105354122643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708272 (or 1708269 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 105354122643 in words is "one hundred five billion, three hundred fifty-four million, one hundred twenty-two thousand, six hundred forty-three".