| Base | Representation |
|---|---|
| bin | 1100100010101… |
| … | …01111011100000 |
| 3 | 21022222012101200 |
| 4 | 12101111323200 |
| 5 | 203413201233 |
| 6 | 14235001200 |
| 7 | 2415160302 |
| oct | 621257340 |
| 9 | 238865350 |
| 10 | 105209568 |
| 11 | 5442a562 |
| 12 | 2b299200 |
| 13 | 18a48aa9 |
| 14 | dd89972 |
| 15 | 9383313 |
| hex | 6455ee0 |
105209568 has 72 divisors (see below), whose sum is σ = 300265056. Its totient is φ = 34944000.
The previous prime is 105209563. The next prime is 105209591. The reversal of 105209568 is 865902501.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (72).
It is a super-2 number, since 2×1052095682 = 22138106397493248, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105209563) 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 11 ways as a sum of consecutive naturals, for example, 115033 + ... + 115943.
It is an arithmetic number, because the mean of its divisors is an integer number (4170348).
Almost surely, 2105209568 is an apocalyptic number.
105209568 is a gapful number since it is divisible by the number (18) 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 105209568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150132528).
105209568 is an abundant number, since it is smaller than the sum of its proper divisors (195055488).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105209568 is a wasteful number, since it uses less digits than its factorization.
105209568 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1328 (or 1317 counting only the distinct ones).
The product of its (nonzero) digits is 21600, while the sum is 36.
The square root of 105209568 is about 10257.1715399519. The cubic root of 105209568 is about 472.0830553834.
The spelling of 105209568 in words is "one hundred five million, two hundred nine thousand, five hundred sixty-eight".
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