It's a switching power supply, so you need to replace them with LOW ESR capacitors.
They don't have to be same brand, same series. Can be anything with reasonably low ESR.
but if you're curious, it's Aishi RR series :
http://www.paullinebarger.net/DS/Aishi/Aishi%20%5Bradial%20thru-hole%5D%20RR%20series.pdf... 1036 is a datecode, probably 2010, week 36 or something like that.
The capacitance and voltage rating should be printed on the OTHER side (see 2nd picture, look on the other side)
I'd probably replace with Panasonic FM or FR series, or United Chemicon KZE series, or Rubycon ZLH or YXG , Nichicon PA (or UPA), HW series....
You can install capacitors with slightly higher voltage rating ( ex 35v rated capacitors instead of 25v rated)
OH and what you should do is remove / scrape / clean however you can all that brown/dark cream goop that's sticking to all the components. It's supposed to be cream colored (should be same color as the material between the big high voltage capacitors) soft sticky material spread over the parts to prevent them from vibrating or becoming loose when moving the circuit board through flow soldering (wave of liquid solder hitting the bottom of the board and soldering everything, the wave can lift light parts out of the holes in the pcb.
When that material becomes brown like in your picture, it's bad, and it can become conductive and basically act like resistors between various points on the circuit board ... scrape it off everywhere you see it, around the capacitors on the edge, and also on the back of that small circuit board near the heatsink that goes across the middle of the pcb.
scrape even the material that's cream looking, make "channels" of no material between components by scraping that material off.