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105268518 = 2331949417
BaseRepresentation
bin1100100011001…
…00010100100110
321100002012021000
412101210110212
5203422043033
614240134130
72415524205
oct621442446
9240065230
10105268518
115446a883
122b307346
1318a69884
14dda323c
159395a13
hex6464526

105268518 has 16 divisors (see below), whose sum is σ = 233930160. Its totient is φ = 35089488.

The previous prime is 105268511. The next prime is 105268519. The reversal of 105268518 is 815862501.

It is a super-2 number, since 2×1052685182 = 22162921763832648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105268511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 974655 + ... + 974762.

It is an arithmetic number, because the mean of its divisors is an integer number (14620635).

Almost surely, 2105268518 is an apocalyptic number.

105268518 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105268518 is an abundant number, since it is smaller than the sum of its proper divisors (128661642).

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

105268518 is a wasteful number, since it uses less digits than its factorization.

105268518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949428 (or 1949422 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The square root of 105268518 is about 10260.0447367446. The cubic root of 105268518 is about 472.1712099134.

It can be divided in two parts, 10526 and 8518, that added together give a square (19044 = 1382).

The spelling of 105268518 in words is "one hundred five million, two hundred sixty-eight thousand, five hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 1949417 3898834 5848251 11696502 17544753 35089506 52634259 105268518