| Base | Representation |
|---|---|
| bin | 1100100110101… |
| … | …00111010100000 |
| 3 | 21100221121212200 |
| 4 | 12103110322200 |
| 5 | 204031322241 |
| 6 | 14254053200 |
| 7 | 2422454562 |
| oct | 623247240 |
| 9 | 240847780 |
| 10 | 105729696 |
| 11 | 54755316 |
| 12 | 2b4aa200 |
| 13 | 18b9b767 |
| 14 | 10083332 |
| 15 | 94374b6 |
| hex | 64d4ea0 |
105729696 has 144 divisors (see below), whose sum is σ = 314181504. Its totient is φ = 33702912.
The previous prime is 105729677. The next prime is 105729697. The reversal of 105729696 is 696927501.
It is a happy number.
105729696 is a `hidden beast` number, since 10 + 572 + 9 + 69 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1057296962 = 22357537232504832, which contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (105729697) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 988075 + ... + 988181.
It is an arithmetic number, because the mean of its divisors is an integer number (2181816).
Almost surely, 2105729696 is an apocalyptic number.
105729696 is a gapful number since it is divisible by the number (16) 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 105729696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157090752).
105729696 is an abundant number, since it is smaller than the sum of its proper divisors (208451808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105729696 is a wasteful number, since it uses less digits than its factorization.
105729696 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 243 (or 232 counting only the distinct ones).
The product of its (nonzero) digits is 204120, while the sum is 45.
The square root of 105729696 is about 10282.4946389483. The cubic root of 105729696 is about 472.8597277392.
The spelling of 105729696 in words is "one hundred five million, seven hundred twenty-nine thousand, six hundred ninety-six".
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