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105510105050 = 2527279545131
BaseRepresentation
bin110001001000011100…
…1000110111111011010
3101002100011212200101112
41202100321012333122
53212041041330200
6120245355420322
710423432044500
oct1422071067732
9332304780345
10105510105050
1140823781629
12185471546a2
139c46250a2c
14516cb88670
152b27d53535
hex1890e46fda

105510105050 has 72 divisors (see below), whose sum is σ = 231179578560. Its totient is φ = 35716917600.

The previous prime is 105510105013. The next prime is 105510105059. The reversal of 105510105050 is 50501015501.

It is a happy number.

It is a super-3 number, since 3×1055101050503 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105510105059) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 79016 + ... + 466115.

It is an arithmetic number, because the mean of its divisors is an integer number (3210827480).

Almost surely, 2105510105050 is an apocalyptic number.

105510105050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105510105050 is an abundant number, since it is smaller than the sum of its proper divisors (125669473510).

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

105510105050 is a wasteful number, since it uses less digits than its factorization.

105510105050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545236 (or 545224 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 23.

The spelling of 105510105050 in words is "one hundred five billion, five hundred ten million, one hundred five thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 79 98 158 175 245 350 395 490 553 790 1106 1225 1975 2450 2765 3871 3950 5530 7742 13825 19355 27650 38710 96775 193550 545131 1090262 2725655 3815917 5451310 7631834 13628275 19079585 26711419 27256550 38159170 43065349 53422838 86130698 95397925 133557095 190795850 215326745 267114190 301457443 430653490 602914886 667785475 1076633725 1335570950 1507287215 2110202101 2153267450 3014574430 4220404202 7536436075 10551010505 15072872150 21102021010 52755052525 105510105050