| Base | Representation |
|---|---|
| bin | 1100101101000… |
| … | …00111001100100 |
| 3 | 21102112002000000 |
| 4 | 12112200321210 |
| 5 | 204240041340 |
| 6 | 14324021300 |
| 7 | 2432534526 |
| oct | 626407144 |
| 9 | 242462000 |
| 10 | 106565220 |
| 11 | 55176033 |
| 12 | 2b831830 |
| 13 | 19101b58 |
| 14 | 1021da16 |
| 15 | 954ed30 |
| hex | 65a0e64 |
106565220 has 84 divisors (see below), whose sum is σ = 335572860. Its totient is φ = 28413504.
The previous prime is 106565209. The next prime is 106565237. The reversal of 106565220 is 22565601.
106565220 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 652 + 2 + 0 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 42693156 + 63872064 = 6534^2 + 7992^2 .
It is a super-2 number, since 2×1065652202 = 22712292227296800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 10926 + ... + 18234.
It is an arithmetic number, because the mean of its divisors is an integer number (3994915).
Almost surely, 2106565220 is an apocalyptic number.
106565220 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 106565220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167786430).
106565220 is an abundant number, since it is smaller than the sum of its proper divisors (229007640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106565220 is an equidigital number, since it uses as much as digits as its factorization.
106565220 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7336 (or 7319 counting only the distinct ones).
The product of its (nonzero) digits is 3600, while the sum is 27.
The square root of 106565220 is about 10323.0431559691. The cubic root of 106565220 is about 474.1020450061.
It can be divided in two parts, 10656 and 5220, that added together give a square (15876 = 1262).
The spelling of 106565220 in words is "one hundred six million, five hundred sixty-five thousand, two hundred twenty".
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