Hahaha I think it's most likely :
1. Dad is actually a demon too and fell in love with the mom
2 . In the case where if the dad is the demon or if he is not : he has connection with the demon worlds anyhow and had come in contact with the silver hair demon (most probably he helped demons etc ?)
Is most likely hahahha cause how is it that the uke got a head of silver hair like most demons do xD

just hear me out just listen ok what if the evil white hair demon father left him and his mother for uke mother and they had the uke together and before the father died he gave the uke the watch so that would mean that the evil white hair sexy demon is uke half brother BOOM plot twist