| Base | Representation |
|---|---|
| bin | 1100101100101… |
| … | …01001110000000 |
| 3 | 21102102122101000 |
| 4 | 12112111032000 |
| 5 | 204232024001 |
| 6 | 14323012000 |
| 7 | 2432245200 |
| oct | 626251600 |
| 9 | 242378330 |
| 10 | 106517376 |
| 11 | 55143099 |
| 12 | 2b80a000 |
| 13 | 190b6144 |
| 14 | 1020a400 |
| 15 | 9540a86 |
| hex | 6595380 |
106517376 has 384 divisors, whose sum is σ = 397677600. Its totient is φ = 27869184.
The previous prime is 106517357. The next prime is 106517399. The reversal of 106517376 is 673715601.
106517376 is a `hidden beast` number, since 106 + 517 + 37 + 6 = 666.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-5 number, since 5×1065173765 (a number of 41 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 106517376.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2878830 + ... + 2878866.
Almost surely, 2106517376 is an apocalyptic number.
106517376 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 106517376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198838800).
106517376 is an abundant number, since it is smaller than the sum of its proper divisors (291160224).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106517376 is a wasteful number, since it uses less digits than its factorization.
106517376 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 91 (or 66 counting only the distinct ones).
The product of its (nonzero) digits is 26460, while the sum is 36.
The square root of 106517376 is about 10320.7255558900. The cubic root of 106517376 is about 474.0310827238.
The spelling of 106517376 in words is "one hundred six million, five hundred seventeen thousand, three hundred seventy-six".
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