| Base | Representation |
|---|---|
| bin | 1100100001100… |
| … | …11101110000000 |
| 3 | 21022201002011202 |
| 4 | 12100303232000 |
| 5 | 203344210230 |
| 6 | 14232000332 |
| 7 | 2414034620 |
| oct | 620635600 |
| 9 | 238632152 |
| 10 | 105069440 |
| 11 | 54344253 |
| 12 | 2b2300a8 |
| 13 | 189ca088 |
| 14 | dd50880 |
| 15 | 9356a45 |
| hex | 6433b80 |
105069440 has 128 divisors (see below), whose sum is σ = 293760000. Its totient is φ = 35186688.
The previous prime is 105069427. The next prime is 105069443. The reversal of 105069440 is 44960501.
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×1050694402 = 22079174443827200, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105069443) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 210311 + ... + 210809.
It is an arithmetic number, because the mean of its divisors is an integer number (2295000).
Almost surely, 2105069440 is an apocalyptic number.
105069440 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 105069440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146880000).
105069440 is an abundant number, since it is smaller than the sum of its proper divisors (188690560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105069440 is an equidigital number, since it uses as much as digits as its factorization.
105069440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 572 (or 560 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 29.
The square root of 105069440 is about 10250.3385309950. The cubic root of 105069440 is about 471.8733740569.
It can be divided in two parts, 10 and 5069440, that multiplied together give a square (50694400 = 71202).
The spelling of 105069440 in words is "one hundred five million, sixty-nine thousand, four hundred forty".
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