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105312606 = 2373138011
BaseRepresentation
bin1100100011011…
…11000101011110
321100011102201220
412101233011132
5203430000411
614241114210
72416066560
oct621570536
9240142656
10105312606
115449aa13
122b328966
1318a83969
14ddb5330
1593a3b06
hex646f15e

105312606 has 32 divisors (see below), whose sum is σ = 241513728. Its totient is φ = 29989440.

The previous prime is 105312583. The next prime is 105312709. The reversal of 105312606 is 606213501.

It is a super-2 number, since 2×1053126062 = 22181489965022472, which contains 22 as substring.

It is a Curzon number.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9141 + ... + 17151.

It is an arithmetic number, because the mean of its divisors is an integer number (7547304).

Almost surely, 2105312606 is an apocalyptic number.

105312606 is an abundant number, since it is smaller than the sum of its proper divisors (136201122).

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

105312606 is a wasteful number, since it uses less digits than its factorization.

105312606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 105312606 is about 10262.1930404763. The cubic root of 105312606 is about 472.2371181235.

The spelling of 105312606 in words is "one hundred five million, three hundred twelve thousand, six hundred six".

Divisors: 1 2 3 6 7 14 21 42 313 626 939 1878 2191 4382 6573 8011 13146 16022 24033 48066 56077 112154 168231 336462 2507443 5014886 7522329 15044658 17552101 35104202 52656303 105312606