| Base | Representation |
|---|---|
| bin | 1100100111101… |
| … | …00010001100000 |
| 3 | 21101012011002000 |
| 4 | 12103310101200 |
| 5 | 204044430034 |
| 6 | 14300524000 |
| 7 | 2423531220 |
| oct | 623642140 |
| 9 | 241164060 |
| 10 | 105858144 |
| 11 | 54832877 |
| 12 | 2b550600 |
| 13 | 18c15072 |
| 14 | 100b8080 |
| 15 | 9460599 |
| hex | 64f4460 |
105858144 has 192 divisors, whose sum is σ = 368686080. Its totient is φ = 28892160.
The previous prime is 105858107. The next prime is 105858157. The reversal of 105858144 is 441858501.
It is a super-2 number, since 2×1058581442 = 22411893302249472, which contains 22 as substring.
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 = 105858099 and 105858108.
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 31 ways as a sum of consecutive naturals, for example, 138724 + ... + 139484.
It is an arithmetic number, because the mean of its divisors is an integer number (1920240).
Almost surely, 2105858144 is an apocalyptic number.
105858144 is a gapful number since it is divisible by the number (14) 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 105858144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).
105858144 is an abundant number, since it is smaller than the sum of its proper divisors (262827936).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105858144 is a wasteful number, since it uses less digits than its factorization.
105858144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 810 (or 796 counting only the distinct ones).
The product of its (nonzero) digits is 25600, while the sum is 36.
The square root of 105858144 is about 10288.7386982079. The cubic root of 105858144 is about 473.0511381910.
It can be divided in two parts, 1058581 and 44, that multiplied together give a palindrome (46577564).
The spelling of 105858144 in words is "one hundred five million, eight hundred fifty-eight thousand, one hundred forty-four".
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