| Base | Representation |
|---|---|
| bin | 1100100111111… |
| … | …10000100000000 |
| 3 | 21101021012002001 |
| 4 | 12103332010000 |
| 5 | 204102220430 |
| 6 | 14301433344 |
| 7 | 2424056140 |
| oct | 623760400 |
| 9 | 241235061 |
| 10 | 105898240 |
| 11 | 5485aa08 |
| 12 | 2b56b854 |
| 13 | 18c2a3a6 |
| 14 | 100c8920 |
| 15 | 946c3ca |
| hex | 64fe100 |
105898240 has 144 divisors (see below), whose sum is σ = 296690688. Its totient is φ = 35463168.
The previous prime is 105898223. The next prime is 105898241. The reversal of 105898240 is 42898501.
It is a super-2 number, since 2×1058982402 = 22428874470195200, which contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 105898240.
It is not an unprimeable number, because it can be changed into a prime (105898241) 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, 474769 + ... + 474991.
It is an arithmetic number, because the mean of its divisors is an integer number (2060352).
Almost surely, 2105898240 is an apocalyptic number.
105898240 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 105898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148345344).
105898240 is an abundant number, since it is smaller than the sum of its proper divisors (190792448).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105898240 is an equidigital number, since it uses as much as digits as its factorization.
105898240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 304 (or 290 counting only the distinct ones).
The product of its (nonzero) digits is 23040, while the sum is 37.
The square root of 105898240 is about 10290.6870518931. The cubic root of 105898240 is about 473.1108566767.
It can be divided in two parts, 10 and 5898240, that multiplied together give a square (58982400 = 76802).
The spelling of 105898240 in words is "one hundred five million, eight hundred ninety-eight thousand, two hundred forty".
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