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105330460 = 22514233701
BaseRepresentation
bin1100100011100…
…11011100011100
321100012100020011
412101303130130
5203431033320
614241333004
72416202614
oct621633434
9240170204
10105330460
1154502374
122b337164
1318a8bb21
14ddbba44
1593a905a
hex647371c

105330460 has 24 divisors (see below), whose sum is σ = 221409216. Its totient is φ = 42091200.

The previous prime is 105330391. The next prime is 105330493. The reversal of 105330460 is 64033501.

It is a super-2 number, since 2×1053304602 = 22189011607623200, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26610 + ... + 30310.

It is an arithmetic number, because the mean of its divisors is an integer number (9225384).

Almost surely, 2105330460 is an apocalyptic number.

105330460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105330460 is an abundant number, since it is smaller than the sum of its proper divisors (116078756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105330460 is a wasteful number, since it uses less digits than its factorization.

105330460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5133 (or 5131 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 105330460 is about 10263.0628956467. The cubic root of 105330460 is about 472.2638032641.

Adding to 105330460 its reverse (64033501), we get a palindrome (169363961).

It can be divided in two parts, 1053 and 30460, that added together give a palindrome (31513).

The spelling of 105330460 in words is "one hundred five million, three hundred thirty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 1423 2846 3701 5692 7115 7402 14230 14804 18505 28460 37010 74020 5266523 10533046 21066092 26332615 52665230 105330460