| Base | Representation |
|---|---|
| bin | 110000111010011111… |
| … | …1010011110110110000 |
| 3 | 101001010112222212212000 |
| 4 | 1201310333103312300 |
| 5 | 3210111220443220 |
| 6 | 120131113534000 |
| 7 | 10406016000204 |
| oct | 1416477236660 |
| 9 | 331115885760 |
| 10 | 105041968560 |
| 11 | 406034a8771 |
| 12 | 18436414300 |
| 13 | 9ba0273ba9 |
| 14 | 5126928b04 |
| 15 | 2aebbd1390 |
| hex | 1874fd3db0 |
105041968560 has 320 divisors, whose sum is σ = 365569459200. Its totient is φ = 27721930752.
The previous prime is 105041968531. The next prime is 105041968567. The reversal of 105041968560 is 65869140501.
105041968560 is a `hidden beast` number, since 1 + 0 + 504 + 1 + 9 + 6 + 85 + 60 = 666.
105041968560 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 2×1050419685602 (a number of 23 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is not an unprimeable number, because it can be changed into a prime (105041968567) by changing a digit.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101685804 + ... + 101686836.
It is an arithmetic number, because the mean of its divisors is an integer number (1142404560).
Almost surely, 2105041968560 is an apocalyptic number.
105041968560 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 105041968560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182784729600).
105041968560 is an abundant number, since it is smaller than the sum of its proper divisors (260527490640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105041968560 is a wasteful number, since it uses less digits than its factorization.
105041968560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1497 (or 1485 counting only the distinct ones).
The product of its (nonzero) digits is 259200, while the sum is 45.
The spelling of 105041968560 in words is "one hundred five billion, forty-one million, nine hundred sixty-eight thousand, five hundred sixty".
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