| Base | Representation |
|---|---|
| bin | 1100101011010… |
| … | …00100000000000 |
| 3 | 21102002100010000 |
| 4 | 12111220200000 |
| 5 | 204210143313 |
| 6 | 14315040000 |
| 7 | 2430553161 |
| oct | 625504000 |
| 9 | 242070100 |
| 10 | 106334208 |
| 11 | 55028512 |
| 12 | 2b740000 |
| 13 | 19050966 |
| 14 | 1019d768 |
| 15 | 9506673 |
| hex | 6568800 |
106334208 has 120 divisors (see below), whose sum is σ = 318107790. Its totient is φ = 35389440.
The previous prime is 106334183. The next prime is 106334219. The reversal of 106334208 is 802433601.
It is a happy number.
106334208 is a `hidden beast` number, since 1 + 0 + 633 + 4 + 20 + 8 = 666.
It can be written as a sum of positive squares in only one way, i.e., 69755904 + 36578304 = 8352^2 + 6048^2 .
It is a super-2 number, since 2×1063342082 = 22613927581974528, 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 9 ways as a sum of consecutive naturals, for example, 165568 + ... + 166208.
Almost surely, 2106334208 is an apocalyptic number.
106334208 is a gapful number since it is divisible by the number (18) 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 106334208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159053895).
106334208 is an abundant number, since it is smaller than the sum of its proper divisors (211773582).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106334208 is an frugal number, since it uses more digits than its factorization.
106334208 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 675 (or 646 counting only the distinct ones).
The product of its (nonzero) digits is 3456, while the sum is 27.
The square root of 106334208 is about 10311.8479430217. The cubic root of 106334208 is about 473.7592111417.
Adding to 106334208 its reverse (802433601), we get a palindrome (908767809).
It can be divided in two parts, 10633 and 4208, that added together give a palindrome (14841).
The spelling of 106334208 in words is "one hundred six million, three hundred thirty-four thousand, two hundred eight".
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