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104112 = 2433241
BaseRepresentation
bin11001011010110000
312021211000
4121122300
511312422
62122000
7612351
oct313260
9167730
10104112
1171248
1250300
1338508
1429d28
1520cac
hex196b0

104112 has 40 divisors (see below), whose sum is σ = 300080. Its totient is φ = 34560.

The previous prime is 104107. The next prime is 104113. The reversal of 104112 is 211401.

Adding to 104112 its reverse (211401), we get a palindrome (315513).

It can be divided in two parts, 104 and 112, that added together give a cube (216 = 63).

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 104094 and 104103.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 104112.

It is not an unprimeable number, because it can be changed into a prime (104113) by changing a digit.

104112 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 7 ways as a sum of consecutive naturals, for example, 312 + ... + 552.

It is an arithmetic number, because the mean of its divisors is an integer number (7502).

2104112 is an apocalyptic number.

104112 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 104112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150040).

104112 is an abundant number, since it is smaller than the sum of its proper divisors (195968).

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

104112 is a wasteful number, since it uses less digits than its factorization.

104112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 246 counting only the distinct ones).

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

The square root of 104112 is about 322.6639118340. The cubic root of 104112 is about 47.0435690753.

The spelling of 104112 in words is "one hundred four thousand, one hundred twelve", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 241 432 482 723 964 1446 1928 2169 2892 3856 4338 5784 6507 8676 11568 13014 17352 26028 34704 52056 104112