| Base | Representation |
|---|---|
| bin | 1100101101110… |
| … | …10001101100100 |
| 3 | 21102201100020000 |
| 4 | 12112322031210 |
| 5 | 204301401100 |
| 6 | 14330141300 |
| 7 | 2433446022 |
| oct | 626721544 |
| 9 | 242640200 |
| 10 | 106668900 |
| 11 | 55236a18 |
| 12 | 2b881830 |
| 13 | 1913a0c0 |
| 14 | 10249712 |
| 15 | 9570900 |
| hex | 65ba364 |
106668900 has 180 divisors, whose sum is σ = 372744372. Its totient is φ = 26231040.
The previous prime is 106668899. The next prime is 106668901. The reversal of 106668900 is 9866601.
It is an interprime number because it is at equal distance from previous prime (106668899) and next prime (106668901).
It can be written as a sum of positive squares in 6 ways, for example, as 45077796 + 61591104 = 6714^2 + 7848^2 .
It is a tau number, because it is divible by the number of its divisors (180).
It is a super-2 number, since 2×1066689002 = 22756508454420000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106668901) by changing a digit.
It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 104794 + ... + 105806.
Almost surely, 2106668900 is an apocalyptic number.
106668900 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 106668900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186372186).
106668900 is an abundant number, since it is smaller than the sum of its proper divisors (266075472).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106668900 is a wasteful number, since it uses less digits than its factorization.
106668900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1052 (or 1036 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 36.
The square root of 106668900 is about 10328.0637101056. The cubic root of 106668900 is about 474.2557504624.
The spelling of 106668900 in words is "one hundred six million, six hundred sixty-eight thousand, nine hundred".
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