Search a number
-
+
106035636 = 223737109313
BaseRepresentation
bin1100101000111…
…11100110110100
321101112011112210
412110133212310
5204121120021
614304413420
72425200540
oct624374664
9241464483
10106035636
1154944163
122b617270
1318c77aa5
1410122a20
159497e76
hex651f9b4

106035636 has 96 divisors (see below), whose sum is σ = 294004480. Its totient is φ = 29113344.

The previous prime is 106035583. The next prime is 106035649. The reversal of 106035636 is 636530601.

It is a super-2 number, since 2×1060356362 = 22487112203848992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338616 + ... + 338928.

Almost surely, 2106035636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106035636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147002240).

106035636 is an abundant number, since it is smaller than the sum of its proper divisors (187968844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106035636 is a wasteful number, since it uses less digits than its factorization.

106035636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The square root of 106035636 is about 10297.3606327058. The cubic root of 106035636 is about 473.3153783222.

The spelling of 106035636 in words is "one hundred six million, thirty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 74 84 109 111 148 218 222 259 313 327 436 444 518 626 654 763 777 939 1036 1252 1308 1526 1554 1878 2191 2289 3052 3108 3756 4033 4382 4578 6573 8066 8764 9156 11581 12099 13146 16132 23162 24198 26292 28231 34117 34743 46324 48396 56462 68234 69486 81067 84693 102351 112924 136468 138972 162134 169386 204702 238819 243201 324268 338772 409404 477638 486402 716457 955276 972804 1262329 1432914 2524658 2865828 3786987 5049316 7573974 8836303 15147948 17672606 26508909 35345212 53017818 106035636