| Base | Representation |
|---|---|
| bin | 1100101000100… |
| … | …01100110000000 |
| 3 | 21101102020211000 |
| 4 | 12110101212000 |
| 5 | 204112300430 |
| 6 | 14303252000 |
| 7 | 2424541314 |
| oct | 624214600 |
| 9 | 241366730 |
| 10 | 105978240 |
| 11 | 54905025 |
| 12 | 2b5aa000 |
| 13 | 18c57924 |
| 14 | 10109b44 |
| 15 | 9485e60 |
| hex | 6511980 |
105978240 has 128 divisors (see below), whose sum is σ = 375400800. Its totient is φ = 28256256.
The previous prime is 105978239. The next prime is 105978241. The reversal of 105978240 is 42879501.
It is an interprime number because it is at equal distance from previous prime (105978239) and next prime (105978241).
It is a tau number, because it is divible by the number of its divisors (128).
It is a super-2 number, since 2×1059782402 = 22462774706995200, which contains 22 as substring.
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 = 105978195 and 105978204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105978241) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14214 + ... + 20346.
Almost surely, 2105978240 is an apocalyptic number.
105978240 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 105978240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187700400).
105978240 is an abundant number, since it is smaller than the sum of its proper divisors (269422560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105978240 is an equidigital number, since it uses as much as digits as its factorization.
105978240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6161 (or 6143 counting only the distinct ones).
The product of its (nonzero) digits is 20160, while the sum is 36.
The square root of 105978240 is about 10294.5733277295. The cubic root of 105978240 is about 473.2299626589.
The spelling of 105978240 in words is "one hundred five million, nine hundred seventy-eight thousand, two hundred forty".
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