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1105104 = 2437111323
BaseRepresentation
bin100001101110011010000
32002010220210
410031303100
5240330404
635404120
712251610
oct4156320
92063823
101105104
11695310
12453640
132c9010
1420aa40
1516c689
hex10dcd0

1105104 has 160 divisors (see below), whose sum is σ = 3999744. Its totient is φ = 253440.

The previous prime is 1105067. The next prime is 1105109. The reversal of 1105104 is 4015011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1105104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48037 + ... + 48059.

21105104 is an apocalyptic number.

1105104 is a gapful number since it is divisible by the number (14) 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 1105104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1999872).

1105104 is an abundant number, since it is smaller than the sum of its proper divisors (2894640).

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

1105104 is a wasteful number, since it uses less digits than its factorization.

1105104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 1105104 is about 1051.2392686729. The cubic root of 1105104 is about 103.3874245650.

The spelling of 1105104 in words is "one million, one hundred five thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 23 24 26 28 33 39 42 44 46 48 52 56 66 69 77 78 84 88 91 92 104 112 132 138 143 154 156 161 168 176 182 184 208 231 253 264 273 276 286 299 308 312 322 336 364 368 429 462 483 506 528 546 552 572 598 616 624 644 728 759 858 897 924 966 1001 1012 1092 1104 1144 1196 1232 1288 1456 1518 1716 1771 1794 1848 1932 2002 2024 2093 2184 2288 2392 2576 3003 3036 3289 3432 3542 3588 3696 3864 4004 4048 4186 4368 4784 5313 6006 6072 6279 6578 6864 7084 7176 7728 8008 8372 9867 10626 12012 12144 12558 13156 14168 14352 16016 16744 19734 21252 23023 24024 25116 26312 28336 33488 39468 42504 46046 48048 50232 52624 69069 78936 85008 92092 100464 138138 157872 184184 276276 368368 552552 1105104