| Base | Representation |
|---|---|
| bin | 10111111101101000000100… |
| … | …111101110100010100000000 |
| 3 | 111211011011222122222011022200 |
| 4 | 113331220010331310110000 |
| 5 | 102303202200122320133 |
| 6 | 1012051254324033200 |
| 7 | 31125114135203022 |
| oct | 2775500475642400 |
| 9 | 454134878864280 |
| 10 | 105389990823168 |
| 11 | 3064270a343367 |
| 12 | b9a1352832800 |
| 13 | 46a6305c970ac |
| 14 | 1c04c8d2ca012 |
| 15 | c2b67ed17913 |
| hex | 5fda04f74500 |
105389990823168 has 864 divisors, whose sum is σ = 342035974425600. Its totient is φ = 31053702758400.
The previous prime is 105389990823119. The next prime is 105389990823191. The reversal of 105389990823168 is 861328099983501.
105389990823168 is a `hidden beast` number, since 1 + 0 + 5 + 389 + 9 + 9 + 0 + 8 + 231 + 6 + 8 = 666.
It is a super-2 number, since 2×1053899908231682 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a junction number, because it is equal to n+sod(n) for n = 105389990823096 and 105389990823105.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38449466278 + ... + 38449469018.
It is an arithmetic number, because the mean of its divisors is an integer number (395874970400).
Almost surely, 2105389990823168 is an apocalyptic number.
105389990823168 is a gapful number since it is divisible by the number (18) 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 105389990823168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171017987212800).
105389990823168 is an abundant number, since it is smaller than the sum of its proper divisors (236645983602432).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105389990823168 is a wasteful number, since it uses less digits than its factorization.
105389990823168 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 3819 (or 3802 counting only the distinct ones).
The product of its (nonzero) digits is 201553920, while the sum is 72.
The spelling of 105389990823168 in words is "one hundred five trillion, three hundred eighty-nine billion, nine hundred ninety million, eight hundred twenty-three thousand, one hundred sixty-eight".
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