105643411321 has 16 divisors (see below), whose sum is σ = 131292475776. Its totient is φ = 82921556736.

The previous prime is 105643411303. The next prime is 105643411339. The reversal of 105643411321 is 123114346501.

It is an interprime number because it is at equal distance from previous prime (105643411303) and next prime (105643411339).

It is a cyclic number.

It is not a de Polignac number, because 105643411321 - 2¹⁹ = 105642887033 is a prime.

It is a super-2 number, since 2×105643411321² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105643411121) 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, 11992351 + ... + 12001156.

It is an arithmetic number, because the mean of its divisors is an integer number (8205779736).

Almost surely, 2^105643411321 is an apocalyptic number.

It is an amenable number.

105643411321 is a deficient number, since it is larger than the sum of its proper divisors (25649064455).

105643411321 is a wasteful number, since it uses less digits than its factorization.

105643411321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23993568.

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 105643411321 its reverse (123114346501), we get a palindrome (228757757822).

The spelling of 105643411321 in words is "one hundred five billion, six hundred forty-three million, four hundred eleven thousand, three hundred twenty-one".