105385127 has 2 divisors, whose sum is σ = 105385128. Its totient is φ = 105385126.

The previous prime is 105385123. The next prime is 105385207. The reversal of 105385127 is 721583501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105385127 - 2² = 105385123 is a prime.

It is a super-2 number, since 2×105385127² = 22212049985612258, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105385093 and 105385102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105385123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52692563 + 52692564.

It is an arithmetic number, because the mean of its divisors is an integer number (52692564).

Almost surely, 2^105385127 is an apocalyptic number.

105385127 is a deficient number, since it is larger than the sum of its proper divisors (1).

105385127 is an equidigital number, since it uses as much as digits as its factorization.

105385127 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 105385127 is about 10265.7258389263. The cubic root of 105385127 is about 472.3454915057.

The spelling of 105385127 in words is "one hundred five million, three hundred eighty-five thousand, one hundred twenty-seven".