105342593827 has 2 divisors, whose sum is σ = 105342593828. Its totient is φ = 105342593826.

The previous prime is 105342593819. The next prime is 105342593833. The reversal of 105342593827 is 728395243501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105342593827 - 2³ = 105342593819 is a prime.

It is a super-2 number, since 2×105342593827² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105342593857) 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, 52671296913 + 52671296914.

It is an arithmetic number, because the mean of its divisors is an integer number (52671296914).

Almost surely, 2^105342593827 is an apocalyptic number.

105342593827 is a deficient number, since it is larger than the sum of its proper divisors (1).

105342593827 is an equidigital number, since it uses as much as digits as its factorization.

105342593827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1814400, while the sum is 49.

The spelling of 105342593827 in words is "one hundred five billion, three hundred forty-two million, five hundred ninety-three thousand, eight hundred twenty-seven".