| Base | Representation |
|---|---|
| bin | 1100100111000… |
| … | …10110001100100 |
| 3 | 21101001111202100 |
| 4 | 12103202301210 |
| 5 | 204040131333 |
| 6 | 14255212100 |
| 7 | 2423112234 |
| oct | 623426144 |
| 9 | 241044670 |
| 10 | 105786468 |
| 11 | 54793a37 |
| 12 | 2b517030 |
| 13 | 18bbb558 |
| 14 | 10099cc4 |
| 15 | 9449213 |
| hex | 64e2c64 |
105786468 has 72 divisors (see below), whose sum is σ = 273513240. Its totient is φ = 34467840.
The previous prime is 105786467. The next prime is 105786479. The reversal of 105786468 is 864687501.
It is a happy number.
105786468 is a `hidden beast` number, since 10 + 578 + 6 + 4 + 68 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 16257024 + 89529444 = 4032^2 + 9462^2 .
It is a super-2 number, since 2×1057864682 = 22381553623830048, which contains 22 as substring.
It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.
It is not an unprimeable number, because it can be changed into a prime (105786467) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438828 + ... + 439068.
It is an arithmetic number, because the mean of its divisors is an integer number (3798795).
Almost surely, 2105786468 is an apocalyptic number.
105786468 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 105786468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136756620).
105786468 is an abundant number, since it is smaller than the sum of its proper divisors (167726772).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105786468 is a wasteful number, since it uses less digits than its factorization.
105786468 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 477 (or 472 counting only the distinct ones).
The product of its (nonzero) digits is 322560, while the sum is 45.
The square root of 105786468 is about 10285.2548825977. The cubic root of 105786468 is about 472.9443472612.
The spelling of 105786468 in words is "one hundred five million, seven hundred eighty-six thousand, four hundred sixty-eight".
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