| Base | Representation |
|---|---|
| bin | 1100100110010… |
| … | …00011111100100 |
| 3 | 21100212001002101 |
| 4 | 12103020133210 |
| 5 | 204023210240 |
| 6 | 14253021444 |
| 7 | 2422153342 |
| oct | 623103744 |
| 9 | 240761071 |
| 10 | 105678820 |
| 11 | 54720075 |
| 12 | 2b484884 |
| 13 | 18b81560 |
| 14 | 1006c992 |
| 15 | 942739a |
| hex | 64c87e4 |
105678820 has 48 divisors (see below), whose sum is σ = 243537840. Its totient is φ = 38278656.
The previous prime is 105678803. The next prime is 105678823. The reversal of 105678820 is 28876501.
It can be written as a sum of positive squares in 8 ways, for example, as 1679616 + 103999204 = 1296^2 + 10198^2 .
It is a super-2 number, since 2×1056788202 = 22336025993184800, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 105678820.
It is not an unprimeable number, because it can be changed into a prime (105678823) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9946 + ... + 17614.
It is an arithmetic number, because the mean of its divisors is an integer number (5073705).
Almost surely, 2105678820 is an apocalyptic number.
105678820 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 105678820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121768920).
105678820 is an abundant number, since it is smaller than the sum of its proper divisors (137859020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105678820 is a wasteful number, since it uses less digits than its factorization.
105678820 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7744 (or 7742 counting only the distinct ones).
The product of its (nonzero) digits is 26880, while the sum is 37.
The square root of 105678820 is about 10280.0204279953. The cubic root of 105678820 is about 472.7838705545.
The spelling of 105678820 in words is "one hundred five million, six hundred seventy-eight thousand, eight hundred twenty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.068 sec. • engine limits •