| Base | Representation |
|---|---|
| bin | 1100101110011… |
| … | …11011100000000 |
| 3 | 21102212202111000 |
| 4 | 12113033130000 |
| 5 | 204312141330 |
| 6 | 14332052000 |
| 7 | 2434260342 |
| oct | 627173400 |
| 9 | 242782430 |
| 10 | 106755840 |
| 11 | 55296274 |
| 12 | 2b904000 |
| 13 | 1916a849 |
| 14 | 1026d292 |
| 15 | 958b560 |
| hex | 65cf700 |
106755840 has 144 divisors (see below), whose sum is σ = 378957600. Its totient is φ = 28459008.
The previous prime is 106755829. The next prime is 106755863. The reversal of 106755840 is 48557601.
106755840 is a `hidden beast` number, since 1 + 0 + 6 + 75 + 584 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×1067558402 = 22793618748211200, 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 = 106755795 and 106755804.
It is a congruent number.
It is an unprimeable number.
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 15 ways as a sum of consecutive naturals, for example, 33016 + ... + 36104.
It is an arithmetic number, because the mean of its divisors is an integer number (2631650).
Almost surely, 2106755840 is an apocalyptic number.
106755840 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 106755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189478800).
106755840 is an abundant number, since it is smaller than the sum of its proper divisors (272201760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106755840 is an equidigital number, since it uses as much as digits as its factorization.
106755840 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3119 (or 3099 counting only the distinct ones).
The product of its (nonzero) digits is 33600, while the sum is 36.
The square root of 106755840 is about 10332.2717734291. The cubic root of 106755840 is about 474.3845621344.
The spelling of 106755840 in words is "one hundred six million, seven hundred fifty-five thousand, eight hundred forty".
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