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105043302 = 23271324933
BaseRepresentation
bin1100100001011…
…01010101100110
321022122202022200
412100231111212
5203342341202
614231235330
72413565460
oct620552546
9238582280
10105043302
1154326651
122b218b46
13189bb200
14dd45130
15934de1c
hex642d566

105043302 has 72 divisors (see below), whose sum is σ = 281711664. Its totient is φ = 27698112.

The previous prime is 105043241. The next prime is 105043303. The reversal of 105043302 is 203340501.

It is a super-2 number, since 2×1050433022 = 22068190590126408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105043303) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 18828 + ... + 23760.

It is an arithmetic number, because the mean of its divisors is an integer number (3912662).

Almost surely, 2105043302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105043302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140855832).

105043302 is an abundant number, since it is smaller than the sum of its proper divisors (176668362).

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

105043302 is a wasteful number, since it uses less digits than its factorization.

105043302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974 (or 4958 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 105043302 is about 10249.0634694103. The cubic root of 105043302 is about 471.8342416852.

Adding to 105043302 its reverse (203340501), we get a palindrome (308383803).

The spelling of 105043302 in words is "one hundred five million, forty-three thousand, three hundred two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 2366 3042 3549 4933 7098 9866 10647 14799 21294 29598 34531 44397 64129 69062 88794 103593 128258 192387 207186 310779 384774 448903 577161 621558 833677 897806 1154322 1346709 1667354 2501031 2693418 4040127 5002062 5835739 7503093 8080254 11671478 15006186 17507217 35014434 52521651 105043302