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105463000305 = 32513227794179
BaseRepresentation
bin110001000111000010…
…1011010110011110001
3101002012220020111211100
41202032011122303301
53211442012002210
6120240554035013
710422320466045
oct1421605326361
9332186214740
10105463000305
11407aa129093
1218533418a69
139c3956a3c0
145166806025
152b23b4b5c0
hex188e15acf1

105463000305 has 48 divisors (see below), whose sum is σ = 197731759680. Its totient is φ = 51691457664.

The previous prime is 105463000289. The next prime is 105463000327. The reversal of 105463000305 is 503000364501.

105463000305 is a `hidden beast` number, since 1 + 0 + 54 + 6 + 300 + 0 + 305 = 666.

It is not a de Polignac number, because 105463000305 - 24 = 105463000289 is a prime.

It is a super-2 number, since 2×1054630003052 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 264295 + ... + 529884.

It is an arithmetic number, because the mean of its divisors is an integer number (4119411660).

Almost surely, 2105463000305 is an apocalyptic number.

105463000305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105463000305 is a deficient number, since it is larger than the sum of its proper divisors (92268759375).

105463000305 is a wasteful number, since it uses less digits than its factorization.

105463000305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 794430 (or 794427 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 105463000305 its reverse (503000364501), we get a palindrome (608463364806).

The spelling of 105463000305 in words is "one hundred five billion, four hundred sixty-three million, three hundred five", and thus it is an aban number.

Divisors: 1 3 5 9 13 15 39 45 65 117 195 227 585 681 1135 2043 2951 3405 8853 10215 14755 26559 44265 132795 794179 2382537 3970895 7147611 10324327 11912685 30972981 35738055 51621635 92918943 154864905 180278633 464594715 540835899 901393165 1622507697 2343622229 2704179495 7030866687 8112538485 11718111145 21092600061 35154333435 105463000305