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105050600055 = 3355930742961
BaseRepresentation
bin110000111010110000…
…0001111001001110111
3101001011011020102001000
41201311200033021313
53210120423200210
6120132022534343
710406152240002
oct1416540171167
9331134212030
10105050600055
1140608363735
12184392973b3
139ba1ca689b
145127b34539
152aec838ac0
hex187580f277

105050600055 has 64 divisors (see below), whose sum is σ = 190545062400. Its totient is φ = 54896693760.

The previous prime is 105050600047. The next prime is 105050600077. The reversal of 105050600055 is 550006050501.

105050600055 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 0 + 600 + 0 + 55 = 666.

It is not a de Polignac number, because 105050600055 - 23 = 105050600047 is a prime.

It is a super-2 number, since 2×1050506000552 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2423775 + ... + 2466735.

It is an arithmetic number, because the mean of its divisors is an integer number (2977266600).

Almost surely, 2105050600055 is an apocalyptic number.

105050600055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105050600055 is a deficient number, since it is larger than the sum of its proper divisors (85494462345).

105050600055 is a wasteful number, since it uses less digits than its factorization.

105050600055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43341 (or 43335 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

Adding to 105050600055 its reverse (550006050501), we get a palindrome (655056650556).

The spelling of 105050600055 in words is "one hundred five billion, fifty million, six hundred thousand, fifty-five".

Divisors: 1 3 5 9 15 27 45 59 135 177 295 307 531 885 921 1535 1593 2655 2763 4605 7965 8289 13815 18113 41445 42961 54339 90565 128883 163017 214805 271695 386649 489051 644415 815085 1159947 1933245 2445255 2534699 5799735 7604097 12673495 13189027 22812291 38020485 39567081 65945135 68436873 114061455 118701243 197835405 342184365 356103729 593506215 778152593 1780518645 2334457779 3890762965 7003373337 11672288895 21010120011 35016866685 105050600055