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105345222606 = 232131014457359
BaseRepresentation
bin110001000011100010…
…0001000011111001110
3101001220200121210012100
41202013010020133032
53211221334110411
6120221145415530
710416360421611
oct1420704103716
9331820553170
10105345222606
11407496a4a48
12184bba9a5a6
139c1b040b60
145154d08178
152b18634456
hex18871087ce

105345222606 has 48 divisors (see below), whose sum is σ = 248239293120. Its totient is φ = 32092977600.

The previous prime is 105345222599. The next prime is 105345222611. The reversal of 105345222606 is 606222543501.

105345222606 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 45 + 2 + 2 + 2 + 606 = 666.

It is a super-2 number, since 2×1053452226062 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2205046 + ... + 2252313.

It is an arithmetic number, because the mean of its divisors is an integer number (5171651940).

Almost surely, 2105345222606 is an apocalyptic number.

105345222606 is an abundant number, since it is smaller than the sum of its proper divisors (142894070514).

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

105345222606 is a wasteful number, since it uses less digits than its factorization.

105345222606 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4457481 (or 4457478 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 105345222606 in words is "one hundred five billion, three hundred forty-five million, two hundred twenty-two thousand, six hundred six".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 606 909 1313 1818 2626 3939 7878 11817 23634 4457359 8914718 13372077 26744154 40116231 57945667 80232462 115891334 173837001 347674002 450193259 521511003 900386518 1043022006 1350579777 2701159554 4051739331 5852512367 8103478662 11705024734 17557537101 35115074202 52672611303 105345222606