http://en.wikipedia.org/wiki/Amoral
"Amorality, the absence of morality; for example, a stone, a chair, or the sky may be considered amoral",
http://dictionary.reference.com/browse/amoral
"not involving questions of right or wrong; without moral quality; neither moral nor immoral."
Merriam-Webster: lacking moral sensibility <infants are amoral> | being outside or beyond the moral order or a particular code of morals <amoral customs>
Apple dictionary: lacking a moral sense; unconcerned with the rightness or wrongness of something : an amoral attitude to sex.
thefreedictionary.com: Lacking moral sensibility; not caring about right and wrong.
Admittedly, some of these do mention definitions along the lines of "having no moral component", so it looks like everyone was wrong. Hurray!