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105443112 = 233171092371
BaseRepresentation
bin1100100100011…
…10111100101000
321100102001202110
412102032330220
5203443134422
614244002320
72420152215
oct622167450
9240361673
10105443112
1154579a75
122b3903a0
1318acb198
141000ab0c
1593cc60c
hex648ef28

105443112 has 64 divisors (see below), whose sum is σ = 281793600. Its totient is φ = 32762880.

The previous prime is 105443083. The next prime is 105443123. The reversal of 105443112 is 211344501.

It is a super-2 number, since 2×1054431122 = 22236499736489088, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 43287 + ... + 45657.

It is an arithmetic number, because the mean of its divisors is an integer number (4403025).

Almost surely, 2105443112 is an apocalyptic number.

105443112 is a gapful number since it is divisible by the number (12) 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 105443112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140896800).

105443112 is an abundant number, since it is smaller than the sum of its proper divisors (176350488).

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

105443112 is a wasteful number, since it uses less digits than its factorization.

105443112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2506 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105443112 is about 10268.5496541625. The cubic root of 105443112 is about 472.4321069270.

Adding to 105443112 its reverse (211344501), we get a palindrome (316787613).

The spelling of 105443112 in words is "one hundred five million, four hundred forty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 109 136 204 218 327 408 436 654 872 1308 1853 2371 2616 3706 4742 5559 7113 7412 9484 11118 14226 14824 18968 22236 28452 40307 44472 56904 80614 120921 161228 241842 258439 322456 483684 516878 775317 967368 1033756 1550634 2067512 3101268 4393463 6202536 8786926 13180389 17573852 26360778 35147704 52721556 105443112