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105840 = 2433572
BaseRepresentation
bin11001110101110000
312101012000
4121311300
511341330
62134000
7620400
oct316560
9171160
10105840
1172579
1251300
1339237
142a800
1521560
hex19d70

105840 has 120 divisors (see below), whose sum is σ = 424080. Its totient is φ = 24192.

The previous prime is 105829. The next prime is 105863. The reversal of 105840 is 48501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×1058402 = 22404211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

105840 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15117 + ... + 15123.

It is an arithmetic number, because the mean of its divisors is an integer number (3534).

2105840 is an apocalyptic number.

105840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212040).

105840 is an abundant number, since it is smaller than the sum of its proper divisors (318240).

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

105840 is a wasteful number, since it uses less digits than its factorization.

105840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105840 is about 325.3306010814. The cubic root of 105840 is about 47.3024109786.

The spelling of 105840 in words is "one hundred five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 49 54 56 60 63 70 72 80 84 90 98 105 108 112 120 126 135 140 144 147 168 180 189 196 210 216 240 245 252 270 280 294 315 336 360 378 392 420 432 441 490 504 540 560 588 630 720 735 756 784 840 882 945 980 1008 1080 1176 1260 1323 1470 1512 1680 1764 1890 1960 2160 2205 2352 2520 2646 2940 3024 3528 3780 3920 4410 5040 5292 5880 6615 7056 7560 8820 10584 11760 13230 15120 17640 21168 26460 35280 52920 105840