| Base | Representation |
|---|---|
| bin | 11000010010010010000011… |
| … | …100111101001110000110100 |
| 3 | 112000011212212120002212120100 |
| 4 | 120102102003213221300310 |
| 5 | 102444431230430130100 |
| 6 | 1015055330342034100 |
| 7 | 31332504602046135 |
| oct | 3022220347516064 |
| 9 | 460155776085510 |
| 10 | 106809454926900 |
| 11 | 3103a6a98758a0 |
| 12 | bb9047a418930 |
| 13 | 477a11c235abb |
| 14 | 1c5386895dc8c |
| 15 | c5355bb39400 |
| hex | 6124839e9c34 |
106809454926900 has 432 divisors, whose sum is σ = 367248152613888. Its totient is φ = 25749750912000.
The previous prime is 106809454926877. The next prime is 106809454926907. The reversal of 106809454926900 is 9629454908601.
106809454926900 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 0 + 9 + 454 + 92 + 6 + 90 + 0 = 666.
106809454926900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×1068094549269002 (a number of 29 digits) contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106809454926907) by changing a digit.
It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8268899242 + ... + 8268912158.
It is an arithmetic number, because the mean of its divisors is an integer number (850111464384).
Almost surely, 2106809454926900 is an apocalyptic number.
106809454926900 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 106809454926900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183624076306944).
106809454926900 is an abundant number, since it is smaller than the sum of its proper divisors (260438697686988).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106809454926900 is a wasteful number, since it uses less digits than its factorization.
106809454926900 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17512 (or 17502 counting only the distinct ones).
The product of its (nonzero) digits is 33592320, while the sum is 63.
The spelling of 106809454926900 in words is "one hundred six trillion, eight hundred nine billion, four hundred fifty-four million, nine hundred twenty-six thousand, nine hundred".
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