| Base | Representation |
|---|---|
| bin | 1100100010011… |
| … | …11011100100100 |
| 3 | 21022220211222010 |
| 4 | 12101033130210 |
| 5 | 203411324022 |
| 6 | 14234234220 |
| 7 | 2415020004 |
| oct | 621173444 |
| 9 | 238824863 |
| 10 | 105183012 |
| 11 | 54411610 |
| 12 | 2b285970 |
| 13 | 18a3998c |
| 14 | dd80004 |
| 15 | 937a50c |
| hex | 644f724 |
105183012 has 96 divisors (see below), whose sum is σ = 298529280. Its totient is φ = 28408320.
The previous prime is 105183011. The next prime is 105183019. The reversal of 105183012 is 210381501.
It is a super-2 number, since 2×1051830122 = 22126932026784288, 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 105183012.
It is not an unprimeable number, because it can be changed into a prime (105183011) 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 31 ways as a sum of consecutive naturals, for example, 41403 + ... + 43869.
It is an arithmetic number, because the mean of its divisors is an integer number (3109680).
Almost surely, 2105183012 is an apocalyptic number.
105183012 is a gapful number since it is divisible by the number (12) 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 105183012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149264640).
105183012 is an abundant number, since it is smaller than the sum of its proper divisors (193346268).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105183012 is a wasteful number, since it uses less digits than its factorization.
105183012 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2521 (or 2519 counting only the distinct ones).
The product of its (nonzero) digits is 240, while the sum is 21.
The square root of 105183012 is about 10255.8769493398. The cubic root of 105183012 is about 472.0433324672.
It can be divided in two parts, 10518 and 3012, that added together give a triangular number (13530 = T164).
The spelling of 105183012 in words is "one hundred five million, one hundred eighty-three thousand, twelve".
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