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105345223516 = 221329320873313
BaseRepresentation
bin110001000011100010…
…0001000101101011100
3101001220200121211110001
41202013010020231130
53211221334123031
6120221145424044
710416360424351
oct1420704105534
9331820554401
10105345223516
11407496a56a5
12184bba9b024
139c1b0413b0
145154d08628
152b18634861
hex1887108b5c

105345223516 has 48 divisors (see below), whose sum is σ = 199368437184. Its totient is φ = 48417094656.

The previous prime is 105345223513. The next prime is 105345223541. The reversal of 105345223516 is 615322543501.

It is a super-2 number, since 2×1053452235162 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105345223513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31795876 + ... + 31799188.

It is an arithmetic number, because the mean of its divisors is an integer number (4153509108).

Almost surely, 2105345223516 is an apocalyptic number.

It is an amenable number.

105345223516 is a deficient number, since it is larger than the sum of its proper divisors (94023213668).

105345223516 is a wasteful number, since it uses less digits than its factorization.

105345223516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5710 (or 5708 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 105345223516 in words is "one hundred five billion, three hundred forty-five million, two hundred twenty-three thousand, five hundred sixteen".

Divisors: 1 2 4 13 26 52 293 586 1172 2087 3313 3809 4174 6626 7618 8348 13252 15236 27131 43069 54262 86138 108524 172276 611491 970709 1222982 1941418 2445964 3882836 6914231 7949383 12619217 13828462 15898766 25238434 27656924 31797532 50476868 89885003 179770006 359540012 2025869683 4051739366 8103478732 26336305879 52672611758 105345223516