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105510105106 = 271012412691151
BaseRepresentation
bin110001001000011100…
…1000111000000010010
3101002100011212200110121
41202100321013000102
53212041041330411
6120245355420454
710423432044610
oct1422071070022
9332304780417
10105510105106
114082378167a
121854715472a
139c46250a73
14516cb886b0
152b27d53571
hex1890e47012

105510105106 has 64 divisors (see below), whose sum is σ = 184265072640. Its totient is φ = 44380800000.

The previous prime is 105510105097. The next prime is 105510105109. The reversal of 105510105106 is 601501015501.

It is a super-2 number, since 2×1055101051062 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105510105109) 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 31 ways as a sum of consecutive naturals, for example, 91667631 + ... + 91668781.

It is an arithmetic number, because the mean of its divisors is an integer number (2879141760).

Almost surely, 2105510105106 is an apocalyptic number.

105510105106 is a deficient number, since it is larger than the sum of its proper divisors (78754967534).

105510105106 is a wasteful number, since it uses less digits than its factorization.

105510105106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1771.

The product of its (nonzero) digits is 750, while the sum is 25.

The spelling of 105510105106 in words is "one hundred five billion, five hundred ten million, one hundred five thousand, one hundred six".

Divisors: 1 2 7 14 101 202 241 269 482 538 707 1151 1414 1687 1883 2302 3374 3766 8057 16114 24341 27169 48682 54338 64829 116251 129658 170387 190183 232502 277391 309619 340774 380366 453803 554782 619238 813757 907606 1627514 1941737 2167333 3883474 4334666 6547729 13095458 28016491 31271519 45834103 56032982 62543038 74618179 91668206 149236358 196115437 218900633 392230874 437801266 522327253 1044654506 7536436079 15072872158 52755052553 105510105106