Using SQL Server 2012+, you can use the TRY_* functions if you have specific needs. For example,
-- will fail for decimal values, but allow negative values
TRY_CAST(@value AS INT) IS NOT NULL
-- will fail for non-positive integers; can be used with other examples below as well, or reversed if only negative desired
TRY_CAST(@value AS INT) > 0
-- will fail if a $ is used, but allow decimals to the specified precision
TRY_CAST(@value AS DECIMAL(10,2)) IS NOT NULL
-- will allow valid currency
TRY_CAST(@value AS MONEY) IS NOT NULL
-- will allow scientific notation to be used like 1.7E+3
TRY_CAST(@value AS FLOAT) IS NOT NULL