| Base | Representation |
|---|---|
| bin | 1100100101011… |
| … | …00101000000000 |
| 3 | 21100122020111200 |
| 4 | 12102230220000 |
| 5 | 204011032142 |
| 6 | 14250341200 |
| 7 | 2421166503 |
| oct | 622545000 |
| 9 | 240566450 |
| 10 | 105564672 |
| 11 | 54652334 |
| 12 | 2b42a800 |
| 13 | 18b41605 |
| 14 | 1003d13a |
| 15 | 940364c |
| hex | 64aca00 |
105564672 has 120 divisors (see below), whose sum is σ = 314920320. Its totient is φ = 34007040.
The previous prime is 105564671. The next prime is 105564673. The reversal of 105564672 is 276465501.
It is a happy number.
105564672 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 646 + 7 + 2 = 666.
It is an interprime number because it is at equal distance from previous prime (105564671) and next prime (105564673).
It is a super-2 number, since 2×1055646722 = 22287799948935168, which 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 (105564671) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142479 + ... + 143217.
It is an arithmetic number, because the mean of its divisors is an integer number (2624336).
Almost surely, 2105564672 is an apocalyptic number.
105564672 is a gapful number since it is divisible by the number (12) 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 105564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157460160).
105564672 is an abundant number, since it is smaller than the sum of its proper divisors (209355648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105564672 is an equidigital number, since it uses as much as digits as its factorization.
105564672 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 794 (or 775 counting only the distinct ones).
The product of its (nonzero) digits is 50400, while the sum is 36.
The square root of 105564672 is about 10274.4669934746. The cubic root of 105564672 is about 472.6135848539.
The spelling of 105564672 in words is "one hundred five million, five hundred sixty-four thousand, six hundred seventy-two".
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