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10104303105 = 32513291015897
BaseRepresentation
bin10010110100100001…
…10110111000000001
3222002012000210002100
421122100312320001
5131143200144410
64350350141013
7505252105431
oct113220667001
928065023070
1010104303105
114315685526
121b5bab1769
13c504a97a0
146bbd542c1
153e21128c0
hex25a436e01

10104303105 has 96 divisors (see below), whose sum is σ = 19708284960. Its totient is φ = 4754534400.

The previous prime is 10104303071. The next prime is 10104303127. The reversal of 10104303105 is 50130340101.

It can be written as a sum of positive squares in 16 ways, for example, as 110502144 + 9993800961 = 10512^2 + 99969^2 .

It is not a de Polignac number, because 10104303105 - 211 = 10104301057 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1710517 + ... + 1716413.

It is an arithmetic number, because the mean of its divisors is an integer number (205294635).

Almost surely, 210104303105 is an apocalyptic number.

10104303105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10104303105 is a deficient number, since it is larger than the sum of its proper divisors (9603981855).

10104303105 is a wasteful number, since it uses less digits than its factorization.

10104303105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6051 (or 6048 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

Adding to 10104303105 its reverse (50130340101), we get a palindrome (60234643206).

The spelling of 10104303105 in words is "ten billion, one hundred four million, three hundred three thousand, one hundred five".

Divisors: 1 3 5 9 13 15 29 39 45 65 87 101 117 145 195 261 303 377 435 505 585 909 1131 1305 1313 1515 1885 2929 3393 3939 4545 5655 5897 6565 8787 11817 14645 16965 17691 19695 26361 29485 38077 43935 53073 59085 76661 88455 114231 131805 171013 190385 229983 265365 342693 383305 513039 571155 595597 689949 855065 1149915 1539117 1713465 1786791 2223169 2565195 2977985 3449745 5360373 6669507 7695585 7742761 8933955 11115845 17272313 20008521 23228283 26801865 33347535 38713805 51816939 69684849 86361565 100042605 116141415 155450817 224540069 259084695 348424245 673620207 777254085 1122700345 2020860621 3368101035 10104303105