| Base | Representation |
|---|---|
| bin | 1100101011000… |
| … | …01110011011000 |
| 3 | 21102000221111000 |
| 4 | 12111201303120 |
| 5 | 204203304101 |
| 6 | 14314305000 |
| 7 | 2430410202 |
| oct | 625416330 |
| 9 | 242027430 |
| 10 | 106306776 |
| 11 | 55009944 |
| 12 | 2b728160 |
| 13 | 19041324 |
| 14 | 10193772 |
| 15 | 94ed486 |
| hex | 6561cd8 |
106306776 has 64 divisors (see below), whose sum is σ = 296755200. Its totient is φ = 35260704.
The previous prime is 106306769. The next prime is 106306777. The reversal of 106306776 is 677603601.
106306776 is a `hidden beast` number, since 10 + 630 + 6 + 7 + 7 + 6 = 666.
It is a super-2 number, since 2×1063067762 = 22602261247028352, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a zygodrome in base 11.
It is a self number, because there is not a number n which added to its sum of digits gives 106306776.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106306777) 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 15 ways as a sum of consecutive naturals, for example, 47065 + ... + 49271.
It is an arithmetic number, because the mean of its divisors is an integer number (4636800).
Almost surely, 2106306776 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 106306776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148377600).
106306776 is an abundant number, since it is smaller than the sum of its proper divisors (190448424).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106306776 is a wasteful number, since it uses less digits than its factorization.
106306776 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2445 (or 2435 counting only the distinct ones).
The product of its (nonzero) digits is 31752, while the sum is 36.
The square root of 106306776 is about 10310.5177367579. The cubic root of 106306776 is about 473.7184676511.
The spelling of 106306776 in words is "one hundred six million, three hundred six thousand, seven hundred seventy-six".
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