| Base | Representation |
|---|---|
| bin | 1100100111110… |
| … | …11100111110000 |
| 3 | 21101020200100200 |
| 4 | 12103323213300 |
| 5 | 204101410430 |
| 6 | 14301315200 |
| 7 | 2424015033 |
| oct | 623734760 |
| 9 | 241220320 |
| 10 | 105888240 |
| 11 | 54853447 |
| 12 | 2b565b00 |
| 13 | 18c25983 |
| 14 | 100c501a |
| 15 | 9469460 |
| hex | 64fb9f0 |
105888240 has 240 divisors, whose sum is σ = 387537696. Its totient is φ = 25804800.
The previous prime is 105888239. The next prime is 105888269. The reversal of 105888240 is 42888501.
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-2 number, since 2×1058882402 = 22424638740595200, which contains 22 as substring.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
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 = 105888195 and 105888204.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501735 + ... + 501945.
Almost surely, 2105888240 is an apocalyptic number.
105888240 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 105888240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193768848).
105888240 is an abundant number, since it is smaller than the sum of its proper divisors (281649456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105888240 is a wasteful number, since it uses less digits than its factorization.
105888240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 288 (or 279 counting only the distinct ones).
The product of its (nonzero) digits is 20480, while the sum is 36.
The square root of 105888240 is about 10290.2011642144. The cubic root of 105888240 is about 473.0959642117.
It can be divided in two parts, 1058 and 88240, that added together give a palindrome (89298).
The spelling of 105888240 in words is "one hundred five million, eight hundred eighty-eight thousand, two hundred forty".
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