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105345650312 = 23710318263809
BaseRepresentation
bin110001000011100010…
…1110000111010001000
3101001220201102111220022
41202013011300322020
53211221441302222
6120221202520012
710416364152560
oct1420705607210
9331821374808
10105345650312
1140749967321
1218500066008
139c1b160736
145154db9da0
152b186bb042
hex1887170e88

105345650312 has 32 divisors (see below), whose sum is σ = 227932348800. Its totient is φ = 44709801984.

The previous prime is 105345650297. The next prime is 105345650411. The reversal of 105345650312 is 213056543501.

105345650312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053456503122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9126137 + ... + 9137672.

It is an arithmetic number, because the mean of its divisors is an integer number (7122885900).

Almost surely, 2105345650312 is an apocalyptic number.

It is an amenable number.

105345650312 is an abundant number, since it is smaller than the sum of its proper divisors (122586698488).

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

105345650312 is a wasteful number, since it uses less digits than its factorization.

105345650312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18263925 (or 18263921 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 105345650312 in words is "one hundred five billion, three hundred forty-five million, six hundred fifty thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 103 206 412 721 824 1442 2884 5768 18263809 36527618 73055236 127846663 146110472 255693326 511386652 1022773304 1881172327 3762344654 7524689308 13168206289 15049378616 26336412578 52672825156 105345650312