Strange sighting of the moon

Today I woke up at about 6 am to find the moon near the horizon, over the eastern direction by which the sun will rise....

And what I saw immensely interested me because the moon, which should only be sickle-shaped, was in fact sickle-shaped. But that's beside the point. The point is: I can see a faint surface of the moon that is supposed to be totally dark. It appears as if the moon is experiencing a partial lunar eclipse, except it isn't.

I can find no logical explanation for such phenomenon: did the sunlight somehow travelled to the back of the moon? Did the sunlight somehow travelled around the earth due to atmospheric refraction, lighting up the moon, which then reflected the light and give us the strange sight?

With questions and no answer, I hereby end my post. (which will make the total post count to be 40!)

P.S: The moon look exactly like this (I cropped it from some online pics) :
Since the picture of this moon was also shot sometime towards sunrise... I think the sunlight might have hit the Earth, bounced off to the moon, then bounced back again... which added some undesirable effects such as heightened global warming.... -.-'''