Odd Operations

You are given an integer $N$. You can perform the following two types of operations on $N$: 1. **Digit Subtraction**: Choose any digit present in the current decimal representation of $N$ and subtract it from $N$. 2. **Digit Reordering**: Rearrange (permute) the digits of $N$ to form a new integer (Leading zeros are not allowed). For example, $1067$ can be rearranged to $7106$ but not to $10670$.