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105050665062 = 232717191256771
BaseRepresentation
bin110000111010110000…
…0011111000001100110
3101001011011100201012200
41201311200133001212
53210120432240222
6120132024155330
710406152630350
oct1416540370146
9331134321180
10105050665062
11406083a8562
1218439308b46
139ba1cca355
145127b500d0
152aec84ceac
hex187581f066

105050665062 has 96 divisors (see below), whose sum is σ = 276870057984. Its totient is φ = 28100908800.

The previous prime is 105050664997. The next prime is 105050665067. The reversal of 105050665062 is 260566050501.

It is a happy number.

It is a super-2 number, since 2×1050506650622 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105050665067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280737 + ... + 537507.

It is an arithmetic number, because the mean of its divisors is an integer number (2884063104).

Almost surely, 2105050665062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105050665062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138435028992).

105050665062 is an abundant number, since it is smaller than the sum of its proper divisors (171819392922).

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

105050665062 is a wasteful number, since it uses less digits than its factorization.

105050665062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256994 (or 256991 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 105050665062 in words is "one hundred five billion, fifty million, six hundred sixty-five thousand, sixty-two".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 51 63 102 119 126 153 191 238 306 357 382 573 714 1071 1146 1337 1719 2142 2674 3247 3438 4011 6494 8022 9741 12033 19482 22729 24066 29223 45458 58446 68187 136374 204561 256771 409122 513542 770313 1540626 1797397 2310939 3594794 4365107 4621878 5392191 8730214 10784382 13095321 16176573 26190642 30555749 32353146 39285963 49043261 61111498 78571926 91667247 98086522 147129783 183334494 275001741 294259566 343302827 441389349 550003482 686605654 833735437 882778698 1029908481 1667470874 2059816962 2501206311 3089725443 5002412622 5836148059 6179450886 7503618933 11672296118 15007237866 17508444177 35016888354 52525332531 105050665062