| Base | Representation |
|---|---|
| bin | 1100101000011… |
| … | …10110101110000 |
| 3 | 21101101200100020 |
| 4 | 12110032311300 |
| 5 | 204111420320 |
| 6 | 14303123440 |
| 7 | 2424463401 |
| oct | 624166560 |
| 9 | 241350306 |
| 10 | 105966960 |
| 11 | 548a7600 |
| 12 | 2b5a3580 |
| 13 | 18c52758 |
| 14 | 101059a8 |
| 15 | 9482940 |
| hex | 650ed70 |
105966960 has 240 divisors, whose sum is σ = 374038560. Its totient is φ = 24780800.
The previous prime is 105966947. The next prime is 105966961. The reversal of 105966960 is 69669501.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1059669602 = 22457993223283200, which contains 22 as substring.
It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105966961) 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 47 ways as a sum of consecutive naturals, for example, 1190596 + ... + 1190684.
It is an arithmetic number, because the mean of its divisors is an integer number (1558494).
Almost surely, 2105966960 is an apocalyptic number.
105966960 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 105966960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187019280).
105966960 is an abundant number, since it is smaller than the sum of its proper divisors (268071600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105966960 is a wasteful number, since it uses less digits than its factorization.
105966960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 168 (or 151 counting only the distinct ones).
The product of its (nonzero) digits is 87480, while the sum is 42.
The square root of 105966960 is about 10294.0254516880. The cubic root of 105966960 is about 473.2131723461.
The spelling of 105966960 in words is "one hundred five million, nine hundred sixty-six thousand, nine hundred sixty".
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