In a county with a population of 190,000 or more, the county auditor may require a district clerk, district attorney, county officer, or precinct officer to furnish monthly reports, annual reports, or other reports regarding any money, tax, or fee received, disbursed, or remaining on hand. In connection with those reports, the auditor may count the cash in the custody of the officer or verify the amount on deposit in the bank in which the officer has deposited the cash for safekeeping.