Multiple Criteria Met In A Sumproduct Formula.

I have 2 columns of data being populated by vlookups

Column H is both numbers and text. Column I is Text and blanks. I need to be able to find only numeric values in column H greater than 0 and compare those occurrences with the corresponding cells in column I and if column I has a text entry (not a blank space) than to count that and at the end give me a total number of times these 2 criteria are met. As an example.

If column H has a text entry then don't count it.
If column H has a number less than zero then don't count it.
If column H has a number greater than zero but column I is blank then don't count it.
If column H has a number greater than 0 and column I has a text entry then count it.

I've tried using many variations of a sumproduct formula and none of them work.

This formula counts all instances where column I has a text entry without checking column H for a number greater than 0.

=SUMPRODUCT(--(H2:H110>0),--(I2:I110<>" "))

Or it's possible that the formula is counting the text entries in column H as a number greater than 0 but I'v tried excluding text using this..

=SUMPRODUCT(--(H2:H110>0&<>"*"),--(I2:I110<>" "))

but this causes an error in the formula somehow that I can't figure out. I even tried this

=SUMPRODUCT(--(H2:H110>0&"*"),--(I2:I110<>" "))

and I get a formula that counts only the times text appears in column H and column I together which is not what I want either.

I'm self-taught on Excel so I know there's a lot I'm not understanding about creating formulas like this but I need to have this working by Friday and I just want it to work.