| Base | Representation |
|---|---|
| bin | 1100110000001… |
| … | …10111010100000 |
| 3 | 21110022022012000 |
| 4 | 12120012322200 |
| 5 | 204341424242 |
| 6 | 14341004000 |
| 7 | 2436225000 |
| oct | 630067240 |
| 9 | 243268160 |
| 10 | 106983072 |
| 11 | 55430a69 |
| 12 | 2b9b3600 |
| 13 | 1921a0c1 |
| 14 | 102cc000 |
| 15 | 95d3a4c |
| hex | 6606ea0 |
106983072 has 288 divisors, whose sum is σ = 384048000. Its totient is φ = 28957824.
The previous prime is 106983061. The next prime is 106983103. The reversal of 106983072 is 270389601.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×1069830722 = 22890755389114368, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 5630679 + ... + 5630697.
It is an arithmetic number, because the mean of its divisors is an integer number (1333500).
Almost surely, 2106983072 is an apocalyptic number.
106983072 is a gapful number since it is divisible by the number (12) 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 106983072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192024000).
106983072 is an abundant number, since it is smaller than the sum of its proper divisors (277064928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106983072 is an equidigital number, since it uses as much as digits as its factorization.
106983072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 78 (or 31 counting only the distinct ones).
The product of its (nonzero) digits is 18144, while the sum is 36.
The square root of 106983072 is about 10343.2621546589. The cubic root of 106983072 is about 474.7209027087.
The spelling of 106983072 in words is "one hundred six million, nine hundred eighty-three thousand, seventy-two".
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