105543833377 has 2 divisors, whose sum is σ = 105543833378. Its totient is φ = 105543833376.

The previous prime is 105543833357. The next prime is 105543833387. The reversal of 105543833377 is 773338345501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96640778641 + 8903054736 = 310871^2 + 94356^2 .

It is a cyclic number.

It is not a de Polignac number, because 105543833377 - 2⁷ = 105543833249 is a prime.

It is a super-2 number, since 2×105543833377² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105543833377.

It is not a weakly prime, because it can be changed into another prime (105543833347) 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 as a sum of consecutive naturals, namely, 52771916688 + 52771916689.

It is an arithmetic number, because the mean of its divisors is an integer number (52771916689).

Almost surely, 2^105543833377 is an apocalyptic number.

It is an amenable number.

105543833377 is a deficient number, since it is larger than the sum of its proper divisors (1).

105543833377 is an equidigital number, since it uses as much as digits as its factorization.

105543833377 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3175200, while the sum is 49.

The spelling of 105543833377 in words is "one hundred five billion, five hundred forty-three million, eight hundred thirty-three thousand, three hundred seventy-seven".