Search a number
-
+
105236196 = 223133147463
BaseRepresentation
bin1100100010111…
…00011011100100
321100000112220220
412101130123210
5203420024241
614235324340
72415331032
oct621343344
9240015826
10105236196
115444856a
122b2b06b0
1318a57c50
14dd95552
15938b166
hex645c6e4

105236196 has 96 divisors (see below), whose sum is σ = 279379968. Its totient is φ = 30602880.

The previous prime is 105236189. The next prime is 105236207. The reversal of 105236196 is 691632501.

It is a happy number.

It is a super-2 number, since 2×1052361962 = 22149313897100832, which contains 22 as substring.

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227061 + ... + 227523.

It is an arithmetic number, because the mean of its divisors is an integer number (2910208).

Almost surely, 2105236196 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 105236196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139689984).

105236196 is an abundant number, since it is smaller than the sum of its proper divisors (174143772).

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

105236196 is a wasteful number, since it uses less digits than its factorization.

105236196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 105236196 is about 10258.4694764862. The cubic root of 105236196 is about 472.1228792874.

Adding to 105236196 its reverse (691632501), we get a palindrome (796868697).

The spelling of 105236196 in words is "one hundred five million, two hundred thirty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 26 31 39 47 52 62 78 93 94 124 141 156 186 188 282 372 403 463 564 611 806 926 1209 1222 1389 1457 1612 1833 1852 2418 2444 2778 2914 3666 4371 4836 5556 5828 6019 7332 8742 12038 14353 17484 18057 18941 21761 24076 28706 36114 37882 43059 43522 56823 57412 65283 72228 75764 86118 87044 113646 130566 172236 186589 227292 261132 282893 373178 559767 565786 674591 746356 848679 1119534 1131572 1349182 1697358 2023773 2239068 2698364 3394716 4047546 8095092 8769683 17539366 26309049 35078732 52618098 105236196