Luke has the same powers as his father, but Batman once said that he has even greater control over his powers then even his father does.
He has total molecular control of his body, giving him the ability to alter its size, shape, density, and even color so well that it is only limited to his imagination. He doesn't have an organic brain so his is impervious to telepathic abilities. His body is so durable that it can withstand acids, gunfire, temperature extremes, most types of energy attacks, punctures, and pretty much all other forms of harm. His extreme elasticity allows him to stretch any part of his body for almost limitless lengths.