| Base | Representation |
|---|---|
| bin | 1100100110100… |
| … | …00011011010110 |
| 3 | 21100220200200000 |
| 4 | 12103100123112 |
| 5 | 204030230233 |
| 6 | 14253432130 |
| 7 | 2422350156 |
| oct | 623203326 |
| 9 | 240820600 |
| 10 | 105711318 |
| 11 | 54742529 |
| 12 | 2b49b646 |
| 13 | 18b9329b |
| 14 | 1007a766 |
| 15 | 9431d13 |
| hex | 64d06d6 |
105711318 has 48 divisors (see below), whose sum is σ = 238545216. Its totient is φ = 35085960.
The previous prime is 105711317. The next prime is 105711323. The reversal of 105711318 is 813117501.
It is a super-2 number, since 2×1057113182 = 22349765506594248, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a junction number, because it is equal to n+sod(n) for n = 105711291 and 105711300.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105711313) 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 23 ways as a sum of consecutive naturals, for example, 215053 + ... + 215543.
It is an arithmetic number, because the mean of its divisors is an integer number (4969692).
Almost surely, 2105711318 is an apocalyptic number.
105711318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 105711318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119272608).
105711318 is an abundant number, since it is smaller than the sum of its proper divisors (132833898).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105711318 is an equidigital number, since it uses as much as digits as its factorization.
105711318 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 951 (or 939 counting only the distinct ones).
The product of its (nonzero) digits is 840, while the sum is 27.
The square root of 105711318 is about 10281.6009453781. The cubic root of 105711318 is about 472.8323285632.
Adding to 105711318 its reverse (813117501), we get a palindrome (918828819).
The spelling of 105711318 in words is "one hundred five million, seven hundred eleven thousand, three hundred eighteen".
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