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10052105 = 57289461
BaseRepresentation
bin100110010110…
…001000001001
3200220200220012
4212112020021
510033131410
6555241305
7151304300
oct46261011
920820805
1010052105
115746328
123449235
13210c4bb
141499437
15d38605
hex996209

10052105 has 24 divisors (see below), whose sum is σ = 14220360. Its totient is φ = 6800640.

The previous prime is 10052071. The next prime is 10052191. The reversal of 10052105 is 50125001.

It can be written as a sum of positive squares in 4 ways, for example, as 41209 + 10010896 = 203^2 + 3164^2 .

It is not a de Polignac number, because 10052105 - 28 = 10051849 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10052105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21575 + ... + 22035.

It is an arithmetic number, because the mean of its divisors is an integer number (592515).

Almost surely, 210052105 is an apocalyptic number.

It is an amenable number.

10052105 is a deficient number, since it is larger than the sum of its proper divisors (4168255).

10052105 is an equidigital number, since it uses as much as digits as its factorization.

10052105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 10052105 is about 3170.5054802034. The cubic root of 10052105 is about 215.8170103718.

Adding to 10052105 its reverse (50125001), we get a palindrome (60177106).

The spelling of 10052105 in words is "ten million, fifty-two thousand, one hundred five".

Divisors: 1 5 7 35 49 89 245 445 461 623 2305 3115 3227 4361 16135 21805 22589 41029 112945 205145 287203 1436015 2010421 10052105