| Base | Representation |
|---|---|
| bin | 110001011000010011… |
| … | …1011010100000000000 |
| 3 | 101010201021100212202100 |
| 4 | 1202300213122200000 |
| 5 | 3214133314243110 |
| 6 | 120414251150400 |
| 7 | 10442553665115 |
| oct | 1426047324000 |
| 9 | 333637325670 |
| 10 | 106042337280 |
| 11 | 40a77153580 |
| 12 | 18675445400 |
| 13 | 9ccc5acb49 |
| 14 | 51bd73090c |
| 15 | 2b59936bc0 |
| hex | 18b09da800 |
106042337280 has 576 divisors, whose sum is σ = 414875260800. Its totient is φ = 24813895680.
The previous prime is 106042337239. The next prime is 106042337287. The reversal of 106042337280 is 82733240601.
It is a happy number.
106042337280 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 42 + 337 + 280 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×1060423372802 (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 (106042337287) 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, 29397237 + ... + 29400843.
It is an arithmetic number, because the mean of its divisors is an integer number (720269550).
Almost surely, 2106042337280 is an apocalyptic number.
106042337280 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 106042337280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207437630400).
106042337280 is an abundant number, since it is smaller than the sum of its proper divisors (308832923520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106042337280 is a wasteful number, since it uses less digits than its factorization.
106042337280 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3680 (or 3657 counting only the distinct ones).
The product of its (nonzero) digits is 48384, while the sum is 36.
Adding to 106042337280 its reverse (82733240601), we get a palindrome (188775577881).
The spelling of 106042337280 in words is "one hundred six billion, forty-two million, three hundred thirty-seven thousand, two hundred eighty".
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