What is the medical term for a person who has an unnatural attraction towards himself/herself?

speedball1

: nar·cis·sism (när'sĭ-sĭz'əm) also nar·cism (-sĭz'əm)
n.

Excessive love or admiration of oneself. See synonyms at conceit.
A psychological condition characterized by self-preoccupation, lack of empathy, and unconscious deficits in self-esteem.
Erotic pleasure derived from contemplation or admiration of one's own body or self, especially as a fixation on or a regression to an infantile stage of development.
The attribute of the human psyche charactized by admiration of oneself but within normal limits.

lal_jacob

Thanks Speedball1