Yes, Donald Trump is a narcissist. He puts his name—often in huge letters—on everything from buildings to a 757 airplane. He constantly brags about his wealth and business acumen, sometimes exaggerating his accomplishments.
Trump eschews the modesty that best-selling author Jim Collins identified in Good to Great as characterizing level 5 leaders; people who, with fierce resolve but a willingness to be in the background, lead their companies to incredible levels of performance. But then again, Trump helps make the case that we often seek leaders with qualities and behaviors quite different from what we claim we want.