| Base | Representation |
|---|---|
| bin | 110001000100101000… |
| … | …0101010001000010000 |
| 3 | 101002000020221100101000 |
| 4 | 1202021100222020100 |
| 5 | 3211310301414220 |
| 6 | 120224543142000 |
| 7 | 10420315510110 |
| oct | 1421120521020 |
| 9 | 332006840330 |
| 10 | 105382060560 |
| 11 | 40768475937 |
| 12 | 185102a4900 |
| 13 | 9c2586b36a |
| 14 | 5159b77040 |
| 15 | 2b1b9ae390 |
| hex | 188942a210 |
105382060560 has 1280 divisors, whose sum is σ = 467970048000. Its totient is φ = 21240299520.
The previous prime is 105382060559. The next prime is 105382060561. The reversal of 105382060560 is 65060283501.
105382060560 is a `hidden beast` number, since 1 + 0 + 5 + 38 + 2 + 0 + 60 + 560 = 666.
It is an interprime number because it is at equal distance from previous prime (105382060559) and next prime (105382060561).
It is a super-2 number, since 2×1053820605602 (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 not an unprimeable number, because it can be changed into a prime (105382060561) by changing a digit.
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 255 ways as a sum of consecutive naturals, for example, 270904846 + ... + 270905234.
It is an arithmetic number, because the mean of its divisors is an integer number (365601600).
Almost surely, 2105382060560 is an apocalyptic number.
105382060560 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 105382060560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024000).
105382060560 is an abundant number, since it is smaller than the sum of its proper divisors (362587987440).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105382060560 is a wasteful number, since it uses less digits than its factorization.
105382060560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 501 (or 489 counting only the distinct ones).
The product of its (nonzero) digits is 43200, while the sum is 36.
The spelling of 105382060560 in words is "one hundred five billion, three hundred eighty-two million, sixty thousand, five hundred sixty".
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