| Base | Representation |
|---|---|
| bin | 110001010111110110… |
| … | …0000000000000000000 |
| 3 | 101010200012001120211000 |
| 4 | 1202233230000000000 |
| 5 | 3214120322342430 |
| 6 | 120412533252000 |
| 7 | 10442304415620 |
| oct | 1425754000000 |
| 9 | 333605046730 |
| 10 | 106026762240 |
| 11 | 40a69385843 |
| 12 | 18670194000 |
| 13 | 9cc92b8849 |
| 14 | 51bb638880 |
| 15 | 2b583abe60 |
| hex | 18afb00000 |
106026762240 has 672 divisors, whose sum is σ = 434865231360. Its totient is φ = 24008196096.
The previous prime is 106026762229. The next prime is 106026762269. The reversal of 106026762240 is 42267620601.
106026762240 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 26 + 7 + 622 + 4 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (672).
It is a super-2 number, since 2×1060267622402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 106026762195 and 106026762204.
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 31 ways as a sum of consecutive naturals, for example, 990904267 + ... + 990904373.
It is an arithmetic number, because the mean of its divisors is an integer number (647120880).
Almost surely, 2106026762240 is an apocalyptic number.
106026762240 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 106026762240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217432615680).
106026762240 is an abundant number, since it is smaller than the sum of its proper divisors (328838469120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106026762240 is an frugal number, since it uses more digits than its factorization.
106026762240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 168 (or 124 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
The spelling of 106026762240 in words is "one hundred six billion, twenty-six million, seven hundred sixty-two thousand, two hundred forty".
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