| Base | Representation |
|---|---|
| bin | 110001011000010111… |
| … | …0101111011111000000 |
| 3 | 101010201101222110211000 |
| 4 | 1202300232233133000 |
| 5 | 3214134312230430 |
| 6 | 120414400252000 |
| 7 | 10442606215434 |
| oct | 1426056573700 |
| 9 | 333641873730 |
| 10 | 106044258240 |
| 11 | 40a78245848 |
| 12 | 18676011000 |
| 13 | 9cccb032cb |
| 14 | 51bdab09c4 |
| 15 | 2b59bb5e60 |
| hex | 18b0baf7c0 |
106044258240 has 224 divisors, whose sum is σ = 387001512000. Its totient is φ = 27303284736.
The previous prime is 106044258239. The next prime is 106044258247. The reversal of 106044258240 is 42852440601.
106044258240 is a `hidden beast` number, since 1 + 0 + 604 + 4 + 2 + 5 + 8 + 2 + 40 = 666.
It is a super-2 number, since 2×1060442582402 (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 = 106044258195 and 106044258204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (106044258247) 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 31 ways as a sum of consecutive naturals, for example, 38946 + ... + 462174.
Almost surely, 2106044258240 is an apocalyptic number.
106044258240 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 106044258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193500756000).
106044258240 is an abundant number, since it is smaller than the sum of its proper divisors (280957253760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106044258240 is a wasteful number, since it uses less digits than its factorization.
106044258240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 423284 (or 423268 counting only the distinct ones).
The product of its (nonzero) digits is 61440, while the sum is 36.
Adding to 106044258240 its reverse (42852440601), we get a palindrome (148896698841).
The spelling of 106044258240 in words is "one hundred six billion, forty-four million, two hundred fifty-eight thousand, two hundred forty".
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