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104114205 = 325131719229
BaseRepresentation
bin1100011010010…
…10100000011101
321020220112211200
412031022200131
5203123123310
614155310113
72402645646
oct615124035
9236815750
10104114205
11538515a8
122aa4b339
1318754350
14db826cd
1592189c0
hex634a81d

104114205 has 144 divisors (see below), whose sum is σ = 224668080. Its totient is φ = 44126208.

The previous prime is 104114191. The next prime is 104114209. The reversal of 104114205 is 502411401.

It can be written as a sum of positive squares in 8 ways, for example, as 1172889 + 102941316 = 1083^2 + 10146^2 .

It is not a de Polignac number, because 104114205 - 212 = 104110109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104114209) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3590131 + ... + 3590159.

It is an arithmetic number, because the mean of its divisors is an integer number (1560195).

Almost surely, 2104114205 is an apocalyptic number.

104114205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104114205 is an abundant number, since it is smaller than the sum of its proper divisors (120553875).

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

104114205 is a wasteful number, since it uses less digits than its factorization.

104114205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 104114205 is about 10203.6368516329. The cubic root of 104114205 is about 470.4390118667.

Adding to 104114205 its reverse (502411401), we get a palindrome (606525606).

The spelling of 104114205 in words is "one hundred four million, one hundred fourteen thousand, two hundred five".

Divisors: 1 3 5 9 13 15 17 19 29 39 45 51 57 65 85 87 95 117 145 153 171 195 221 247 255 261 285 323 361 377 435 493 551 585 663 741 765 855 969 1083 1105 1131 1235 1305 1479 1615 1653 1805 1885 1989 2223 2465 2755 2907 3249 3315 3393 3705 4199 4437 4693 4845 4959 5415 5655 6137 6409 7163 7395 8265 9367 9945 10469 11115 12597 14079 14535 16245 16965 18411 19227 20995 21489 22185 23465 24795 28101 30685 31407 32045 35815 37791 42237 46835 52345 55233 57681 62985 64467 70395 79781 84303 92055 94221 96135 107445 121771 136097 140505 157035 177973 188955 211185 239343 276165 288405 322335 365313 398905 408291 421515 471105 533919 608855 680485 718029 889865 1095939 1196715 1224873 1601757 1826565 2041455 2313649 2669595 3590145 5479695 6124365 6940947 8008785 11568245 20822841 34704735 104114205