When I get multiplied by any number, the sum of the figures in the product is always me. What am I?

I have a head like a cat and feet like a cat, but I am not a cat. What am I?

Can you spot what's wrong with the following sentence?

PETER WAS ANGRY AT
HIMSELF BECAUSE HE
ACCIDENTALLY LEFT THE
THE KEYS TO HIS CAR
AT HIS FRIEND'S HOUSE.

What does the following BrainBat signifies?

ABCDEFGHIJKLMNOPQRSTUVWYZ

QQQQQQQQQQQQQQQQQQQQQQQQQ.

How many times can you subtract the number 5 from 25?

The UN Security Council has how many member states?

a) 15
b) 10
c) 20
d) 25

I don't get anymore wetter, no matter how much rain falls on me.

Can you count the chocolates in hand?

Known by all without exception, Forever here, for your protection, Sometimes strong, sometimes weak, Right after the night I come - hot and chic. And while millions of miles away, I always get to you, I find my way. No life around could do without me, Can you guess what I might be?

My thunder comes before the lightning; my lightning comes before clouds; my rain dries all the land it touches. What am I?