Traditional theology states that Jesus was all man and all God (or God incarnate) at the same time (yeah...that's a brain buster.) So he had traits that are ascribed to God like omniscience, omnipresence, and omnipotence. He clearly humbled himself to walk among us, laying his powers aside. At times, however, he took them up showing his omniscience (knowing the thoughts of the Pharisee's hearts) and omnipotence (walking on water amongst others).

Take from that what you will, just explaining the traditional theology .