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105016236 = 223134714323
BaseRepresentation
bin1100100001001…
…10101110101100
321022121101012020
412100212232230
5203341004421
614230510140
72413423533
oct620465654
9238541166
10105016236
1154308286
122b205350
13189abab0
14dd3931a
159345dc6
hex6426bac

105016236 has 48 divisors (see below), whose sum is σ = 269520384. Its totient is φ = 31622976.

The previous prime is 105016231. The next prime is 105016237. The reversal of 105016236 is 632610501.

It is a super-2 number, since 2×1050162362 = 22056819647215392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105016231) 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 15 ways as a sum of consecutive naturals, for example, 171 + ... + 14493.

It is an arithmetic number, because the mean of its divisors is an integer number (5615008).

Almost surely, 2105016236 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105016236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134760192).

105016236 is an abundant number, since it is smaller than the sum of its proper divisors (164504148).

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

105016236 is a wasteful number, since it uses less digits than its factorization.

105016236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14390 (or 14388 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105016236 is about 10247.7429710156. The cubic root of 105016236 is about 471.7937131211.

Adding to 105016236 its reverse (632610501), we get a palindrome (737626737).

The spelling of 105016236 in words is "one hundred five million, sixteen thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 12 13 26 39 47 52 78 94 141 156 188 282 564 611 1222 1833 2444 3666 7332 14323 28646 42969 57292 85938 171876 186199 372398 558597 673181 744796 1117194 1346362 2019543 2234388 2692724 4039086 8078172 8751353 17502706 26254059 35005412 52508118 105016236