According to Indonesia's National Disaster Management Agency, 83,712 houses, 200 public buildings and 285 schools were destroyed.
Another 100,000 buildings and 20 miles of road were badly damaged and five bridges had collapsed.
DEC chief executive Brendan Gormley said: "The nature of these disasters vividly recalls the horrors of the 2004 tsunami. Millions have seen the world they know ripped apart around them."
He said although DEC member agencies were already responding, they urgently needed the public's help to fund their work.
"We recognise that these are difficult and uncertain times for many people in the UK too but we have no doubt that there will still be a strong desire to help."
The DEC is also asking for donations for victims of two typhoons that ripped through parts of the Philippines and Vietnam.
Donations can be made by ringing 0370 60 60 900 or visiting the DECwebsite.
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