105505427 has 2 divisors, whose sum is σ = 105505428. Its totient is φ = 105505426.

The previous prime is 105505409. The next prime is 105505441. The reversal of 105505427 is 724505501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105505427 - 2⁸ = 105505171 is a prime.

It is a super-2 number, since 2×105505427² = 22262790252904658, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105505427.

It is not a weakly prime, because it can be changed into another prime (105505447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52752713 + 52752714.

It is an arithmetic number, because the mean of its divisors is an integer number (52752714).

Almost surely, 2^105505427 is an apocalyptic number.

105505427 is a deficient number, since it is larger than the sum of its proper divisors (1).

105505427 is an equidigital number, since it uses as much as digits as its factorization.

105505427 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7000, while the sum is 29.

The square root of 105505427 is about 10271.5834709163. The cubic root of 105505427 is about 472.5251549181.

The spelling of 105505427 in words is "one hundred five million, five hundred five thousand, four hundred twenty-seven".