Huge file size after resampling

Question

I want to co-register a DEM file with 100m resolution with a landcover file of 10m resolution. Thereby the DEM file is resampled to match the 10m resolution. Obviously, the file size of the new DEM will be bigger but in my case it is huge! (from 58kB to 136'927 kB). This seems not reasonably for me.

This is the code I use:

infile=os.path.join(f'DEM.tif')
match=os.path.join('landcover.tif') #co-register the infile to the match file
outfile=os.path.join('DEM_resampled.tif')

# open input
with rasterio.open(infile) as src:
    src_transform = src.transform
    
    # open input to match
    with rasterio.open(match) as match:
        dst_crs = match.crs
        
        # calculate the output transform matrix
        dst_transform, dst_width, dst_height = calculate_default_transform(
            src.crs,     # input CRS
            dst_crs,     # output CRS
            match.width,   # input width
            match.height,  # input height 
            *match.bounds,  # unpacks input outer boundaries (left, bottom, right, top)
        )

    # set properties for output
    dst_kwargs = src.meta.copy()
    dst_kwargs.update({"crs": dst_crs,
                        "transform": dst_transform,
                        "width": dst_width,
                        "height": dst_height,
                        "nodata": 0})
    print("Coregistered to shape:", dst_height,dst_width,'\n Affine',dst_transform)
    # open output
    with rasterio.open(outfile, "w", **dst_kwargs) as dst:
        # iterate through bands and write using reproject function
        for i in range(1, src.count + 1):
            reproject(
                source=rasterio.band(src, i),
                destination=rasterio.band(dst, i),
                src_transform=src.transform,
                src_crs=src.crs,
                dst_transform=dst_transform,
                dst_crs=dst_crs,
                resampling=Resampling.bilinear)

Does somebody have any tips?