Base | Representation |
---|---|
bin | 1100101100110… |
… | …11110010110000 |
3 | 21102111000022100 |
4 | 12112123302300 |
5 | 204233404204 |
6 | 14323340400 |
7 | 2432416536 |
oct | 626336260 |
9 | 242430270 |
10 | 106544304 |
11 | 55161349 |
12 | 2b821700 |
13 | 190c5489 |
14 | 10216156 |
15 | 9548a39 |
hex | 659bcb0 |
106544304 has 120 divisors (see below), whose sum is σ = 320684832. Its totient is φ = 32901120.
The previous prime is 106544293. The next prime is 106544309. The reversal of 106544304 is 403445601.
106544304 is a `hidden beast` number, since 1 + 0 + 654 + 4 + 3 + 0 + 4 = 666.
It is a super-2 number, since 2×1065443042 = 22703377429688832, which contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (106544309) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173502 + ... + 174114.
Almost surely, 2106544304 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 106544304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160342416).
106544304 is an abundant number, since it is smaller than the sum of its proper divisors (214140528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106544304 is a wasteful number, since it uses less digits than its factorization.
106544304 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 715 (or 706 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 106544304 is about 10322.0300328957. The cubic root of 106544304 is about 474.0710249816.
Adding to 106544304 its reverse (403445601), we get a palindrome (509989905).
It can be divided in two parts, 1065 and 44304, that added together give a square (45369 = 2132).
The spelling of 106544304 in words is "one hundred six million, five hundred forty-four thousand, three hundred four".
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