| Base | Representation |
|---|---|
| bin | 1100101100101… |
| … | …01101001100100 |
| 3 | 21102102201210100 |
| 4 | 12112111221210 |
| 5 | 204232103030 |
| 6 | 14323024100 |
| 7 | 2432253300 |
| oct | 626255144 |
| 9 | 242381710 |
| 10 | 106519140 |
| 11 | 55144452 |
| 12 | 2b80b030 |
| 13 | 190b6ba0 |
| 14 | 1020ad00 |
| 15 | 9541360 |
| hex | 6595a64 |
106519140 has 216 divisors, whose sum is σ = 405208440. Its totient is φ = 22450176.
The previous prime is 106519139. The next prime is 106519151. The reversal of 106519140 is 41915601.
106519140 is a `hidden beast` number, since 1 + 0 + 6 + 519 + 140 = 666.
It can be written as a sum of positive squares in 4 ways, for example, as 4064256 + 102454884 = 2016^2 + 10122^2 .
It is a super-2 number, since 2×1065191402 = 22692654372679200, which contains 22 as substring.
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 71 ways as a sum of consecutive naturals, for example, 114196 + ... + 115124.
It is an arithmetic number, because the mean of its divisors is an integer number (1875965).
Almost surely, 2106519140 is an apocalyptic number.
106519140 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 106519140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202604220).
106519140 is an abundant number, since it is smaller than the sum of its proper divisors (298689300).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
106519140 is a wasteful number, since it uses less digits than its factorization.
106519140 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 971 (or 959 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 27.
The square root of 106519140 is about 10320.8110146441. The cubic root of 106519140 is about 474.0336994681.
It can be divided in two parts, 10651 and 9140, that added together give a palindrome (19791).
The spelling of 106519140 in words is "one hundred six million, five hundred nineteen thousand, one hundred forty".
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