| Base | Representation |
|---|---|
| bin | 1100100001101… |
| … | …01111001000000 |
| 3 | 21022201112101020 |
| 4 | 12100311321000 |
| 5 | 203400001321 |
| 6 | 14232105440 |
| 7 | 2414102556 |
| oct | 620657100 |
| 9 | 238645336 |
| 10 | 105078336 |
| 11 | 5434aa00 |
| 12 | 2b235280 |
| 13 | 18a0113c |
| 14 | dd53bd6 |
| 15 | 93594c6 |
| hex | 6435e40 |
105078336 has 84 divisors (see below), whose sum is σ = 305659536. Its totient is φ = 31834880.
The previous prime is 105078307. The next prime is 105078349. The reversal of 105078336 is 633870501.
It is a happy number.
It is a super-2 number, since 2×1050783362 = 22082913393057792, which contains 22 as substring.
It is a Smith number, since the sum of its digits (33) 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 (33).
It is a junction number, because it is equal to n+sod(n) for n = 105078297 and 105078306.
It is an unprimeable number.
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 11 ways as a sum of consecutive naturals, for example, 20971 + ... + 25493.
It is an arithmetic number, because the mean of its divisors is an integer number (3638804).
Almost surely, 2105078336 is an apocalyptic number.
105078336 is a gapful number since it is divisible by the number (16) 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 105078336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152829768).
105078336 is an abundant number, since it is smaller than the sum of its proper divisors (200581200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105078336 is a wasteful number, since it uses less digits than its factorization.
105078336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4560 (or 4539 counting only the distinct ones).
The product of its (nonzero) digits is 15120, while the sum is 33.
The square root of 105078336 is about 10250.7724586979. The cubic root of 105078336 is about 471.8866911771.
The spelling of 105078336 in words is "one hundred five million, seventy-eight thousand, three hundred thirty-six".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.092 sec. • engine limits •