| Base | Representation |
|---|---|
| bin | 11000011001100000110010… |
| … | …001110110011111000000000 |
| 3 | 112001221101022221102120210000 |
| 4 | 120121200302032303320000 |
| 5 | 103031101303222312220 |
| 6 | 1020115500345440000 |
| 7 | 31413424200463500 |
| oct | 3031406216637000 |
| 9 | 461841287376700 |
| 10 | 107306305666560 |
| 11 | 312113920963a0 |
| 12 | 100508207a0000 |
| 13 | 47b4c30a9c000 |
| 14 | 1c6d91d805a00 |
| 15 | c6143b043390 |
| hex | 6198323b3e00 |
107306305666560 has 9600 divisors, whose sum is σ = 580345405516800. Its totient is φ = 18651172700160.
The previous prime is 107306305666499. The next prime is 107306305666603. The reversal of 107306305666560 is 65666503603701.
107306305666560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 107306305666497 and 107306305666506.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 4665491550709 + ... + 4665491550731.
It is an arithmetic number, because the mean of its divisors is an integer number (60452646408).
Almost surely, 2107306305666560 is an apocalyptic number.
107306305666560 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 107306305666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290172702758400).
107306305666560 is an abundant number, since it is smaller than the sum of its proper divisors (473039099850240).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
107306305666560 is a wasteful number, since it uses less digits than its factorization.
107306305666560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 141 (or 83 counting only the distinct ones).
The product of its (nonzero) digits is 12247200, while the sum is 54.
The spelling of 107306305666560 in words is "one hundred seven trillion, three hundred six billion, three hundred five million, six hundred sixty-six thousand, five hundred sixty".
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