Search a number
-
+
103107636 = 22324321549
BaseRepresentation
bin1100010010101…
…00110000110100
321012000102002100
412021110300310
5202343421021
614121542100
72361254232
oct611246064
9235012070
10103107636
1153224325
122a644930
1318491148
14d99d952
1590ba626
hex6254c34

103107636 has 54 divisors (see below), whose sum is σ = 267007650. Its totient is φ = 33548256.

The previous prime is 103107607. The next prime is 103107647. The reversal of 103107636 is 636701301.

103107636 is a `hidden beast` number, since 10 + 3 + 10 + 7 + 636 = 666.

It can be written as a sum of positive squares in only one way, i.e., 81540900 + 21566736 = 9030^2 + 4644^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 65790 + ... + 67338.

Almost surely, 2103107636 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 103107636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133503825).

103107636 is an abundant number, since it is smaller than the sum of its proper divisors (163900014).

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

103107636 is a wasteful number, since it uses less digits than its factorization.

103107636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1645 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 103107636 is about 10154.1930255437. The cubic root of 103107636 is about 468.9180423646.

Adding to 103107636 its reverse (636701301), we get a palindrome (739808937).

The spelling of 103107636 in words is "one hundred three million, one hundred seven thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 1549 1849 3098 3698 4647 5547 6196 7396 9294 11094 13941 16641 18588 22188 27882 33282 55764 66564 66607 133214 199821 266428 399642 599463 799284 1198926 2397852 2864101 5728202 8592303 11456404 17184606 25776909 34369212 51553818 103107636