105705427 has 2 divisors, whose sum is σ = 105705428. Its totient is φ = 105705426.

The previous prime is 105705419. The next prime is 105705437. The reversal of 105705427 is 724507501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105705427 - 2³ = 105705419 is a prime.

It is a super-2 number, since 2×105705427² = 22347274594504658, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105705437) 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, 52852713 + 52852714.

It is an arithmetic number, because the mean of its divisors is an integer number (52852714).

Almost surely, 2^105705427 is an apocalyptic number.

105705427 is a deficient number, since it is larger than the sum of its proper divisors (1).

105705427 is an equidigital number, since it uses as much as digits as its factorization.

105705427 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9800, while the sum is 31.

The square root of 105705427 is about 10281.3144587645. The cubic root of 105705427 is about 472.8235451865.

The spelling of 105705427 in words is "one hundred five million, seven hundred five thousand, four hundred twenty-seven".