| Base | Representation |
|---|---|
| bin | 1100011000011… |
| … | …10100011100000 |
| 3 | 21020110001222200 |
| 4 | 12030032203200 |
| 5 | 203042244030 |
| 6 | 14150133200 |
| 7 | 2400604011 |
| oct | 614164340 |
| 9 | 236401880 |
| 10 | 103868640 |
| 11 | 536a4057 |
| 12 | 2a951200 |
| 13 | 18699645 |
| 14 | db1b008 |
| 15 | 91bad60 |
| hex | 630e8e0 |
103868640 has 144 divisors (see below), whose sum is σ = 375390288. Its totient is φ = 26062848.
The previous prime is 103868627. The next prime is 103868651. The reversal of 103868640 is 46868301.
It is a happy number.
103868640 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 6 + 8 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 103868595 and 103868604.
It is a congruent number.
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 23 ways as a sum of consecutive naturals, for example, 22359 + ... + 26601.
It is an arithmetic number, because the mean of its divisors is an integer number (2606877).
Almost surely, 2103868640 is an apocalyptic number.
103868640 is a gapful number since it is divisible by the number (10) 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 103868640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187695144).
103868640 is an abundant number, since it is smaller than the sum of its proper divisors (271521648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
103868640 is a wasteful number, since it uses less digits than its factorization.
103868640 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4281 (or 4270 counting only the distinct ones).
The product of its (nonzero) digits is 27648, while the sum is 36.
The square root of 103868640 is about 10191.5965383251. The cubic root of 103868640 is about 470.0688596860.
The spelling of 103868640 in words is "one hundred three million, eight hundred sixty-eight thousand, six hundred forty".
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