java.sql.BatchUpdateException: Incorrect integer value: '' for column '' at row 1 when setting value to null

I am trying to insert a null value into an Integer Mysql column using java JDBC driver.

        Connection con;
        con = MySqlConnect.getConnection(accountName);
        con.setAutoCommit(false);
        PreparedStatement stmt = con.prepareStatement("INSERT INTO TABLE_NAME (COLUMN_NAME) VALUES (?)");
        stmt.setNull(1, Types.INTEGER);
        stmt.addBatch();
        stmt.executeBatch();

But I am getting this error :

java.sql.BatchUpdateException: Incorrect integer value: '' for column 'COLUMN_NAME' at row 1

I don't understand why I can't insert this value (also why it is written '' instead of null). Schema of the table is including

COLUMN_NAME int(10) DEFAULT NULL,

If reproduce an alternate scenario using Float data type :

FLOAT_COLUMN float(10) DEFAULT NULL,

And chaning the setNull line to :

stmt.setNull(1, Types.FLOAT);

It works (so for the float data type not int).