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104369265 = 325721113331
BaseRepresentation
bin1100011100010…
…00110001110001
321021101111201100
412032020301301
5203204304030
614204555013
72405060400
oct616106161
9237344640
10104369265
1153a061a0
122ab52a69
1318813480
14dc0b637
159269360
hex6388c71

104369265 has 144 divisors (see below), whose sum is σ = 247980096. Its totient is φ = 39916800.

The previous prime is 104369249. The next prime is 104369297. The reversal of 104369265 is 562963401.

It is a happy number.

It is not a de Polignac number, because 104369265 - 24 = 104369249 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 315150 + ... + 315480.

It is an arithmetic number, because the mean of its divisors is an integer number (1722084).

Almost surely, 2104369265 is an apocalyptic number.

104369265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104369265 is an abundant number, since it is smaller than the sum of its proper divisors (143610831).

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

104369265 is a wasteful number, since it uses less digits than its factorization.

104369265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 104369265 is about 10216.1276910579. The cubic root of 104369265 is about 470.8228606193.

It can be divided in two parts, 10436 and 9265, that added together give a triangular number (19701 = T198).

The spelling of 104369265 in words is "one hundred four million, three hundred sixty-nine thousand, two hundred sixty-five".

Divisors: 1 3 5 7 9 11 13 15 21 33 35 39 45 49 55 63 65 77 91 99 105 117 143 147 165 195 231 245 273 315 331 385 429 441 455 495 539 585 637 693 715 735 819 993 1001 1155 1287 1365 1617 1655 1911 2145 2205 2317 2695 2979 3003 3185 3465 3641 4095 4303 4851 4965 5005 5733 6435 6951 7007 8085 9009 9555 10923 11585 12909 14895 15015 16219 18205 20853 21021 21515 24255 25487 28665 30121 32769 34755 35035 38727 45045 47333 48657 54615 63063 64545 76461 81095 90363 104265 105105 127435 141999 145971 150605 163845 178409 193635 210847 229383 236665 243285 271089 315315 331331 382305 425997 451815 535227 632541 709995 729855 892045 993993 1054235 1146915 1355445 1605681 1656655 1897623 2129985 2319317 2676135 2981979 3162705 4969965 6957951 8028405 9488115 11596585 14909895 20873853 34789755 104369265