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105344621260 = 22567711636793
BaseRepresentation
bin110001000011100000…
…1110101101011001100
3101001220122111020022021
41202013001311223030
53211221210340020
6120221124455524
710416352335454
oct1420701655314
9331818436267
10105344621260
114074932416a
12184bb84a5a4
139c1ab90228
145154bccd64
152b185661aa
hex1887075acc

105344621260 has 96 divisors (see below), whose sum is σ = 229118464512. Its totient is φ = 40667235840.

The previous prime is 105344621257. The next prime is 105344621267. The reversal of 105344621260 is 62126443501.

105344621260 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 2×1053446212602 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105344621267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15504424 + ... + 15511216.

It is an arithmetic number, because the mean of its divisors is an integer number (2386650672).

Almost surely, 2105344621260 is an apocalyptic number.

105344621260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105344621260 is an abundant number, since it is smaller than the sum of its proper divisors (123773843252).

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

105344621260 is a wasteful number, since it uses less digits than its factorization.

105344621260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7103 (or 7101 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 105344621260 in words is "one hundred five billion, three hundred forty-four million, six hundred twenty-one thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 67 71 134 142 163 268 284 326 335 355 652 670 710 815 1340 1420 1630 3260 4757 6793 9514 10921 11573 13586 19028 21842 23146 23785 27172 33965 43684 46292 47570 54605 57865 67930 95140 109210 115730 135860 218420 231460 455131 482303 775391 910262 964606 1107259 1550782 1820524 1929212 2214518 2275655 2411515 3101564 3876955 4429036 4551310 4823030 5536295 7753910 9102620 9646060 11072590 15507820 22145180 32314301 64628602 74186353 78615389 129257204 148372706 157230778 161571505 296745412 314461556 323143010 370931765 393076945 646286020 741863530 786153890 1483727060 1572307780 5267231063 10534462126 21068924252 26336155315 52672310630 105344621260