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12105104 = 2411109631
BaseRepresentation
bin101110001011…
…010110010000
3211210000002012
4232023112100
511044330404
61111242052
7204614564
oct56132620
924700065
1012105104
116918820
124079328
13267aaab
1418716a4
1510e1a6e
hexb8b590

12105104 has 40 divisors (see below), whose sum is σ = 25861440. Its totient is φ = 5443200.

The previous prime is 12105083. The next prime is 12105113. The reversal of 12105104 is 40150121.

It is a plaindrome in base 13.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18869 + ... + 19499.

It is an arithmetic number, because the mean of its divisors is an integer number (646536).

Almost surely, 212105104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12105104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12930720).

12105104 is an abundant number, since it is smaller than the sum of its proper divisors (13756336).

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

12105104 is a wasteful number, since it uses less digits than its factorization.

12105104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 12105104 is about 3479.2389972521. The cubic root of 12105104 is about 229.6093178524.

Adding to 12105104 its reverse (40150121), we get a palindrome (52255225).

The spelling of 12105104 in words is "twelve million, one hundred five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 109 176 218 436 631 872 1199 1262 1744 2398 2524 4796 5048 6941 9592 10096 13882 19184 27764 55528 68779 111056 137558 275116 550232 756569 1100464 1513138 3026276 6052552 12105104