105384243967 has 2 divisors, whose sum is σ = 105384243968. Its totient is φ = 105384243966.

The previous prime is 105384243949. The next prime is 105384243989. The reversal of 105384243967 is 769342483501.

It is a happy number.

It is a weak prime.

It is an emirp because it is prime and its reverse (769342483501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105384243967 - 2³⁵ = 71024505599 is a prime.

It is a super-3 number, since 3×105384243967³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105384243067) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52692121983 + 52692121984.

It is an arithmetic number, because the mean of its divisors is an integer number (52692121984).

It is a 1-persistent number, because it is pandigital, but 2⋅105384243967 = 210768487934 is not.

Almost surely, 2^105384243967 is an apocalyptic number.

105384243967 is a deficient number, since it is larger than the sum of its proper divisors (1).

105384243967 is an equidigital number, since it uses as much as digits as its factorization.

105384243967 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 105384243967 in words is "one hundred five billion, three hundred eighty-four million, two hundred forty-three thousand, nine hundred sixty-seven".