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104324112 = 2434101797
BaseRepresentation
bin1100011011111…
…01110000010000
321021022012210000
412031331300100
5203201332422
614204010000
72404511634
oct615756020
9237265700
10104324112
1153985282
122ab30900
13187c8a59
14dbd8dc4
15925acac
hex637dc10

104324112 has 100 divisors (see below), whose sum is σ = 305316396. Its totient is φ = 34387200.

The previous prime is 104324089. The next prime is 104324137. The reversal of 104324112 is 211423401.

It can be written as a sum of positive squares in 2 ways, for example, as 80353296 + 23970816 = 8964^2 + 4896^2 .

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.

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 19 ways as a sum of consecutive naturals, for example, 130498 + ... + 131294.

Almost surely, 2104324112 is an apocalyptic number.

104324112 is a gapful number since it is divisible by the number (12) 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 104324112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152658198).

104324112 is an abundant number, since it is smaller than the sum of its proper divisors (200992284).

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

104324112 is a wasteful number, since it uses less digits than its factorization.

104324112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 903 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104324112 is about 10213.9175637950. The cubic root of 104324112 is about 470.7549538745.

Adding to 104324112 its reverse (211423401), we get a palindrome (315747513).

The spelling of 104324112 in words is "one hundred four million, three hundred twenty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 101 108 144 162 202 216 303 324 404 432 606 648 797 808 909 1212 1296 1594 1616 1818 2391 2424 2727 3188 3636 4782 4848 5454 6376 7173 7272 8181 9564 10908 12752 14346 14544 16362 19128 21519 21816 28692 32724 38256 43038 43632 57384 64557 65448 80497 86076 114768 129114 130896 160994 172152 241491 258228 321988 344304 482982 516456 643976 724473 965964 1032912 1287952 1448946 1931928 2173419 2897892 3863856 4346838 5795784 6520257 8693676 11591568 13040514 17387352 26081028 34774704 52162056 104324112