| Base | Representation |
|---|---|
| bin | 11000000010010001011010… |
| … | …011010010101110100000000 |
| 3 | 111212021201001112002111012120 |
| 4 | 120002101122122111310000 |
| 5 | 102323420021444144210 |
| 6 | 1012454054313524240 |
| 7 | 31160145544020600 |
| oct | 3002213232256400 |
| 9 | 455251045074176 |
| 10 | 105709251943680 |
| 11 | 30756050984580 |
| 12 | ba331b2713680 |
| 13 | 46ca45539a718 |
| 14 | 1c164d8538c00 |
| 15 | c34b18440270 |
| hex | 60245a695d00 |
105709251943680 has 864 divisors, whose sum is σ = 428556644425728. Its totient is φ = 21959136460800.
The previous prime is 105709251943649. The next prime is 105709251943739. The reversal of 105709251943680 is 86349152907501.
It is a happy number.
It is a super-2 number, since 2×1057092519436802 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (60).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10975932465 + ... + 10975942095.
It is an arithmetic number, because the mean of its divisors is an integer number (496014634752).
It is a 1-persistent number, because it is pandigital, but 2⋅105709251943680 = 211418503887360 is not.
Almost surely, 2105709251943680 is an apocalyptic number.
105709251943680 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 105709251943680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214278322212864).
105709251943680 is an abundant number, since it is smaller than the sum of its proper divisors (322847392482048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105709251943680 is a wasteful number, since it uses less digits than its factorization.
105709251943680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 14983 (or 14962 counting only the distinct ones).
The product of its (nonzero) digits is 16329600, while the sum is 60.
The spelling of 105709251943680 in words is "one hundred five trillion, seven hundred nine billion, two hundred fifty-one million, nine hundred forty-three thousand, six hundred eighty".
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