| Base | Representation |
|---|---|
| bin | 1100101001100… |
| … | …00110101101100 |
| 3 | 21101122202101000 |
| 4 | 12110300311230 |
| 5 | 204130344340 |
| 6 | 14310120300 |
| 7 | 2425613403 |
| oct | 624606554 |
| 9 | 241582330 |
| 10 | 106106220 |
| 11 | 549921a0 |
| 12 | 2b650090 |
| 13 | 18ca0c5c |
| 14 | 1014063a |
| 15 | 94add30 |
| hex | 6530d6c |
106106220 has 96 divisors (see below), whose sum is σ = 360138240. Its totient is φ = 25721280.
The previous prime is 106106207. The next prime is 106106227. The reversal of 106106220 is 22601601.
It is a happy number.
It is a super-2 number, since 2×1061062202 = 22517059845376800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 106106193 and 106106202.
It is not an unprimeable number, because it can be changed into a prime (106106227) 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 31 ways as a sum of consecutive naturals, for example, 2992 + ... + 14871.
It is an arithmetic number, because the mean of its divisors is an integer number (3751440).
Almost surely, 2106106220 is an apocalyptic number.
106106220 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 106106220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180069120).
106106220 is an abundant number, since it is smaller than the sum of its proper divisors (254032020).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106106220 is a wasteful number, since it uses less digits than its factorization.
106106220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 17892 (or 17884 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
The square root of 106106220 is about 10300.7873485477. The cubic root of 106106220 is about 473.4203778731.
Adding to 106106220 its reverse (22601601), we get a palindrome (128707821).
The spelling of 106106220 in words is "one hundred six million, one hundred six thousand, two hundred twenty".
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