105543813917 has 2 divisors, whose sum is σ = 105543813918. Its totient is φ = 105543813916.

The previous prime is 105543813913. The next prime is 105543813919. The reversal of 105543813917 is 719318345501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76117499236 + 29426314681 = 275894^2 + 171541^2 .

It is a cyclic number.

It is not a de Polignac number, because 105543813917 - 2² = 105543813913 is a prime.

It is a super-2 number, since 2×105543813917² (a number of 23 digits) contains 22 as substring.

Together with 105543813919, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105543813913) 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 as a sum of consecutive naturals, namely, 52771906958 + 52771906959.

It is an arithmetic number, because the mean of its divisors is an integer number (52771906959).

Almost surely, 2^105543813917 is an apocalyptic number.

It is an amenable number.

105543813917 is a deficient number, since it is larger than the sum of its proper divisors (1).

105543813917 is an equidigital number, since it uses as much as digits as its factorization.

105543813917 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 453600, while the sum is 47.

The spelling of 105543813917 in words is "one hundred five billion, five hundred forty-three million, eight hundred thirteen thousand, nine hundred seventeen".