| Base | Representation |
|---|---|
| bin | 110001001101100100… |
| … | …0101110101101011100 |
| 3 | 101002210011021102121100 |
| 4 | 1202123020232231130 |
| 5 | 3212414041101220 |
| 6 | 120314415233100 |
| 7 | 10430616640500 |
| oct | 1423310565534 |
| 9 | 332704242540 |
| 10 | 105681972060 |
| 11 | 40901799885 |
| 12 | 18594818790 |
| 13 | 9c72a37aa2 |
| 14 | 5187926300 |
| 15 | 2b37ea1d90 |
| hex | 189b22eb5c |
105681972060 has 432 divisors, whose sum is σ = 378354884544. Its totient is φ = 23806089216.
The previous prime is 105681972049. The next prime is 105681972061. The reversal of 105681972060 is 60279186501.
105681972060 is a `hidden beast` number, since 1 + 0 + 568 + 1 + 9 + 7 + 20 + 60 = 666.
It is a super-2 number, since 2×1056819720602 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a junction number, because it is equal to n+sod(n) for n = 105681971997 and 105681972015.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105681972061) by changing a digit.
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 143 ways as a sum of consecutive naturals, for example, 231251352 + ... + 231251808.
It is an arithmetic number, because the mean of its divisors is an integer number (875821492).
Almost surely, 2105681972060 is an apocalyptic number.
105681972060 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 105681972060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189177442272).
105681972060 is an abundant number, since it is smaller than the sum of its proper divisors (272672912484).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105681972060 is a wasteful number, since it uses less digits than its factorization.
105681972060 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 810 (or 798 counting only the distinct ones).
The product of its (nonzero) digits is 181440, while the sum is 45.
The spelling of 105681972060 in words is "one hundred five billion, six hundred eighty-one million, nine hundred seventy-two thousand, sixty".
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