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105223237 = 7219111243
BaseRepresentation
bin1100100010110…
…01010001000101
321022222220010221
412101121101011
5203414120422
614235144341
72415245200
oct621312105
9238886127
10105223237
1154439859
122b2a50b1
1318a52092
14dd90937
1593873c7
hex6459445

105223237 has 12 divisors (see below), whose sum is σ = 123054336. Its totient is φ = 89711160.

The previous prime is 105223211. The next prime is 105223241. The reversal of 105223237 is 732322501.

It is a de Polignac number, because none of the positive numbers 2k-105223237 is a prime.

It is a super-2 number, since 2×1052232372 = 22143859209516338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105223247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3738 + ... + 14980.

It is an arithmetic number, because the mean of its divisors is an integer number (10254528).

Almost surely, 2105223237 is an apocalyptic number.

It is an amenable number.

105223237 is a deficient number, since it is larger than the sum of its proper divisors (17831099).

105223237 is a wasteful number, since it uses less digits than its factorization.

105223237 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11448 (or 11441 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 105223237 is about 10257.8378326039. The cubic root of 105223237 is about 472.1034991002.

Adding to 105223237 its reverse (732322501), we get a palindrome (837545738).

The spelling of 105223237 in words is "one hundred five million, two hundred twenty-three thousand, two hundred thirty-seven".

Divisors: 1 7 49 191 1337 9359 11243 78701 550907 2147413 15031891 105223237