troublesome abr

#include<bits/stdc++.h>
using namespace std;
int n=100000;
vector <int> divisor[100005];
void sieve()
{
    int i,j;
    for(i=1;i<=n;i++)
    {
        for(j=i;j<=n;j+=i)
        {
            divisor[j].push_back(i);
        }
    }
}
int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);


    sieve();
    int m,t,i,j;
    long long ans;
    int mod=1e9+7;

    cin>>t;
    while(t--)
    {

        cin>>m;
        ans=1;
        for(i=0;i<divisor[m].size();i++)
        {
          //  cout<<divisor[n][i]<<" ";
            ans=(ans*(divisor[m].at(i)+1))%mod;
        }
        cout<<ans-1<<endl;

    }
}