| Base | Representation |
|---|---|
| bin | 1100100110111… |
| … | …11001000010100 |
| 3 | 21101000202021110 |
| 4 | 12103133020110 |
| 5 | 204034142130 |
| 6 | 14255015020 |
| 7 | 2423020560 |
| oct | 623371024 |
| 9 | 241022243 |
| 10 | 105771540 |
| 11 | 547837a6 |
| 12 | 2b50a470 |
| 13 | 18bb4814 |
| 14 | 100946a0 |
| 15 | 9444ab0 |
| hex | 64df214 |
105771540 has 96 divisors (see below), whose sum is σ = 343332864. Its totient is φ = 23829120.
The previous prime is 105771521. The next prime is 105771559. The reversal of 105771540 is 45177501.
It is an interprime number because it is at equal distance from previous prime (105771521) and next prime (105771559).
It is a super-2 number, since 2×1057715402 = 22375237347943200, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 105771498 and 105771507.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28047 + ... + 31593.
It is an arithmetic number, because the mean of its divisors is an integer number (3576384).
Almost surely, 2105771540 is an apocalyptic number.
105771540 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 105771540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171666432).
105771540 is an abundant number, since it is smaller than the sum of its proper divisors (237561324).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
105771540 is a wasteful number, since it uses less digits than its factorization.
105771540 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3637 (or 3635 counting only the distinct ones).
The product of its (nonzero) digits is 4900, while the sum is 30.
The square root of 105771540 is about 10284.5291579148. The cubic root of 105771540 is about 472.9220997864.
The spelling of 105771540 in words is "one hundred five million, seven hundred seventy-one thousand, five hundred forty".
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