Base | Representation |
---|---|
bin | 1100100011011… |
… | …10000100001000 |
3 | 21100011020000000 |
4 | 12101232010020 |
5 | 203424332144 |
6 | 14241043000 |
7 | 2416051434 |
oct | 621560410 |
9 | 240136000 |
10 | 105308424 |
11 | 54497861 |
12 | 2b326460 |
13 | 18a81aa0 |
14 | ddb39c4 |
15 | 93a2769 |
hex | 646e108 |
105308424 has 128 divisors (see below), whose sum is σ = 319603200. Its totient is φ = 32332608.
The previous prime is 105308417. The next prime is 105308447. The reversal of 105308424 is 424803501.
It is a super-2 number, since 2×1053084242 = 22179728330727552, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227217 + ... + 227679.
It is an arithmetic number, because the mean of its divisors is an integer number (2496900).
Almost surely, 2105308424 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 105308424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159801600).
105308424 is an abundant number, since it is smaller than the sum of its proper divisors (214294776).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105308424 is an equidigital number, since it uses as much as digits as its factorization.
105308424 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 503 (or 481 counting only the distinct ones).
The product of its (nonzero) digits is 3840, while the sum is 27.
The square root of 105308424 is about 10261.9892808363. The cubic root of 105308424 is about 472.2308671410.
The spelling of 105308424 in words is "one hundred five million, three hundred eight thousand, four hundred twenty-four".
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