How to write sql to be able to handle dateadd function +1 and amount(interger and string)

Question is badly worded, but I only take a guess this is what you are after??

    ;with mycte as (
select
'2017-09-05' as date
, 364100.00 as amount
 ,'Tuesday' as [name of date]

 union all 
 select
  '2017-09-11'
  , 189700.00
  ,' Monday'
  )

  Select 
  date
  ,amount
  ,[name of date]
  ,SUM(amount) over (order by date) as Total
   from mycte

   order by date

To combine 2 integer, you need convert each as varchar first then you can use operator + or use concat function like this :

SELECT CONCAT(CAST(364100 AS varchar(20)), '+', CAST(189700 AS varchar(20)))

But to achieve your goal, because a row depends on other row, may be you need cursor for looping like this :

DECLARE @Your_Table TABLE
(
    Date_Column Date,
    Amount INT
)

DECLARE @ResultTable TABLE
(
    Date_Column Date,
    Amount VarChar(200),
    NameOfDate VarChar(20)
)

INSERT INTO @Your_Table VALUES('2017-09-05', 364100);
INSERT INTO @Your_Table VALUES('2017-09-11', 189700);

DECLARE @Dt Date, @Am INT, @CurrentAm VarChar(200)
SELECT @CurrentAm = '';

DECLARE db_cursor CURSOR FOR  
SELECT * FROM @Your_Table ORDER BY Date_Column DESC

OPEN db_cursor   
FETCH NEXT FROM db_cursor INTO @Dt, @Am

WHILE @@FETCH_STATUS = 0   
BEGIN   
        IF @CurrentAm=''
        BEGIN
            SELECT @CurrentAm=CAST(@Am AS VarChar(200));
            INSERT INTO @ResultTable VALUES(@Dt,@CurrentAm, DATENAME(DW, @Dt));
        END
        ELSE
        BEGIN
            SELECT @CurrentAm=CONCAT(CAST(@Am AS varchar(20)), '+', CAST(@CurrentAm AS VarChar(200)));
            INSERT INTO @ResultTable VALUES(@Dt,@CurrentAm, DATENAME(DW, @Dt));
        END

       FETCH NEXT FROM db_cursor INTO @Dt, @Am
END   

CLOSE db_cursor   
DEALLOCATE db_cursor

SELECT * FROM @ResultTable ORDER BY Date_Column

Edited : AS Harry's comment, You do not have to convert int to char in concat function

replace this

SELECT @CurrentAm=CONCAT(CAST(@Am AS varchar(20)), '+', CAST(@CurrentAm AS VarChar(200)));

with this

SELECT @CurrentAm=CONCAT(@Am, '+', @CurrentAm);