| Base | Representation |
|---|---|
| bin | 1100100011011… |
| … | …01111010000000 |
| 3 | 21100011012010000 |
| 4 | 12101231322000 |
| 5 | 203424322101 |
| 6 | 14241040000 |
| 7 | 2416046520 |
| oct | 621557200 |
| 9 | 240135100 |
| 10 | 105307776 |
| 11 | 54497322 |
| 12 | 2b326000 |
| 13 | 18a816c2 |
| 14 | ddb3680 |
| 15 | 93a2486 |
| hex | 646de80 |
105307776 has 160 divisors (see below), whose sum is σ = 358411680. Its totient is φ = 30067200.
The previous prime is 105307771. The next prime is 105307781. The reversal of 105307776 is 677703501.
It is an interprime number because it is at equal distance from previous prime (105307771) and next prime (105307781).
It is a super-2 number, since 2×1053077762 = 22179455372132352, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 105307776.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105307771) by changing a digit.
It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71851 + ... + 73301.
It is an arithmetic number, because the mean of its divisors is an integer number (2240073).
Almost surely, 2105307776 is an apocalyptic number.
105307776 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 105307776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179205840).
105307776 is an abundant number, since it is smaller than the sum of its proper divisors (253103904).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105307776 is an equidigital number, since it uses as much as digits as its factorization.
105307776 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1484 (or 1463 counting only the distinct ones).
The product of its (nonzero) digits is 30870, while the sum is 36.
The square root of 105307776 is about 10261.9577079620. The cubic root of 105307776 is about 472.2298985378.
The spelling of 105307776 in words is "one hundred five million, three hundred seven thousand, seven hundred seventy-six".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.142 sec. • engine limits •