| Base | Representation |
|---|---|
| bin | 1100111000101… |
| … | …01001010010000 |
| 3 | 21112101112121100 |
| 4 | 12130111022100 |
| 5 | 210132340000 |
| 6 | 14420424400 |
| 7 | 2451515124 |
| oct | 634251220 |
| 9 | 245345540 |
| 10 | 108090000 |
| 11 | 56017687 |
| 12 | 30248100 |
| 13 | 19516ba5 |
| 14 | 104d9584 |
| 15 | 9751a00 |
| hex | 6715290 |
108090000 has 150 divisors (see below), whose sum is σ = 378321086. Its totient is φ = 28800000.
The previous prime is 108089983. The next prime is 108090007. The reversal of 108090000 is 90801.
Added to its reverse (90801) it gives a square (108180801 = 104012).
It can be written as a sum of positive squares in 5 ways, for example, as 81216144 + 26873856 = 9012^2 + 5184^2 .
It is a tau number, because it is divible by the number of its divisors (150).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (108090007) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89400 + ... + 90600.
Almost surely, 2108090000 is an apocalyptic number.
108090000 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 108090000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189160543).
108090000 is an abundant number, since it is smaller than the sum of its proper divisors (270231086).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
108090000 is a wasteful number, since it uses less digits than its factorization.
108090000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1235 (or 1211 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
The square root of 108090000 is about 10396.6340706981. The cubic root of 108090000 is about 476.3525622831.
Adding to 108090000 its reverse (90801), we get a square (108180801 = 104012).
The spelling of 108090000 in words is "one hundred eight million, ninety thousand".
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