| Base | Representation |
|---|---|
| bin | 110001101111010000… |
| … | …0000000011000101000 |
| 3 | 101012200220220021111100 |
| 4 | 1203132200000120220 |
| 5 | 3222222402202430 |
| 6 | 121022511001400 |
| 7 | 10500622162041 |
| oct | 1433640003050 |
| 9 | 335626807440 |
| 10 | 106812147240 |
| 11 | 41331744157 |
| 12 | 1884b209260 |
| 13 | a0c2c223b6 |
| 14 | 5253a7b8c8 |
| 15 | 2ba22e8960 |
| hex | 18de800628 |
106812147240 has 192 divisors, whose sum is σ = 370558281600. Its totient is φ = 26603942400.
The previous prime is 106812147199. The next prime is 106812147241. The reversal of 106812147240 is 42741218601.
It is a happy number.
106812147240 is a `hidden beast` number, since 1 + 0 + 68 + 121 + 472 + 4 + 0 = 666.
It is a super-2 number, since 2×1068121472402 (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 a junction number, because it is equal to n+sod(n) for n = 106812147195 and 106812147204.
It is not an unprimeable number, because it can be changed into a prime (106812147241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 375670 + ... + 595610.
It is an arithmetic number, because the mean of its divisors is an integer number (1929991050).
Almost surely, 2106812147240 is an apocalyptic number.
106812147240 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 106812147240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185279140800).
106812147240 is an abundant number, since it is smaller than the sum of its proper divisors (263746134360).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106812147240 is a wasteful number, since it uses less digits than its factorization.
106812147240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 220048 (or 220041 counting only the distinct ones).
The product of its (nonzero) digits is 21504, while the sum is 36.
The spelling of 106812147240 in words is "one hundred six billion, eight hundred twelve million, one hundred forty-seven thousand, two hundred forty".
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