| Base | Representation |
|---|---|
| bin | 1100100101001… |
| … | …01001100100000 |
| 3 | 21100120200202120 |
| 4 | 12102211030200 |
| 5 | 204004043430 |
| 6 | 14245544240 |
| 7 | 2421012000 |
| oct | 622451440 |
| 9 | 240520676 |
| 10 | 105534240 |
| 11 | 54631489 |
| 12 | 2b415080 |
| 13 | 18b307c6 |
| 14 | 10032000 |
| 15 | 93e9610 |
| hex | 64a5320 |
105534240 has 192 divisors, whose sum is σ = 388281600. Its totient is φ = 24084480.
The previous prime is 105534239. The next prime is 105534241. The reversal of 105534240 is 42435501.
It is an interprime number because it is at equal distance from previous prime (105534239) and next prime (105534241).
It is a super-2 number, since 2×1055342402 = 22274951624755200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 105534240.
It is not an unprimeable number, because it can be changed into a prime (105534241) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164320 + ... + 164960.
It is an arithmetic number, because the mean of its divisors is an integer number (2022300).
Almost surely, 2105534240 is an apocalyptic number.
105534240 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 105534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194140800).
105534240 is an abundant number, since it is smaller than the sum of its proper divisors (282747360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105534240 is an equidigital number, since it uses as much as digits as its factorization.
105534240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 680 (or 658 counting only the distinct ones).
The product of its (nonzero) digits is 2400, while the sum is 24.
The square root of 105534240 is about 10272.9859339921. The cubic root of 105534240 is about 472.5681657485.
Adding to 105534240 its reverse (42435501), we get a palindrome (147969741).
The spelling of 105534240 in words is "one hundred five million, five hundred thirty-four thousand, two hundred forty".
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