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12104100 = 2233524483
BaseRepresentation
bin101110001011…
…000110100100
3211202221201000
4232023012210
511044312400
61111233300
7204611631
oct56130644
924687630
1012104100
116917a98
124078830
13267a4b8
141871188
1510e1600
hexb8b1a4

12104100 has 72 divisors (see below), whose sum is σ = 38921120. Its totient is φ = 3227040.

The previous prime is 12104093. The next prime is 12104101. The reversal of 12104100 is 140121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (12104101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 459 + ... + 4941.

Almost surely, 212104100 is an apocalyptic number.

12104100 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 12104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19460560).

12104100 is an abundant number, since it is smaller than the sum of its proper divisors (26817020).

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

12104100 is a wasteful number, since it uses less digits than its factorization.

12104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4506 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12104100 is about 3479.0947098347. The cubic root of 12104100 is about 229.6029697277.

Adding to 12104100 its reverse (140121), we get a palindrome (12244221).

The spelling of 12104100 in words is "twelve million, one hundred four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 4483 8966 13449 17932 22415 26898 40347 44830 53796 67245 80694 89660 112075 121041 134490 161388 201735 224150 242082 268980 336225 403470 448300 484164 605205 672450 806940 1008675 1210410 1344900 2017350 2420820 3026025 4034700 6052050 12104100