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104509104 = 2437615099
BaseRepresentation
bin1100011101010…
…10111010110000
321021122121112120
412032222322300
5203223242404
614211554240
72406212160
oct616527260
9237577476
10104509104
1153aa1267
122abbb980
131886200b
14dc465a0
1592959d9
hex63aaeb0

104509104 has 80 divisors (see below), whose sum is σ = 313670400. Its totient is φ = 29364480.

The previous prime is 104509087. The next prime is 104509109. The reversal of 104509104 is 401905401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (104509109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17947 + ... + 23045.

It is an arithmetic number, because the mean of its divisors is an integer number (3920880).

Almost surely, 2104509104 is an apocalyptic number.

104509104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104509104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156835200).

104509104 is an abundant number, since it is smaller than the sum of its proper divisors (209161296).

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

104509104 is a wasteful number, since it uses less digits than its factorization.

104509104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5178 (or 5172 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 104509104 is about 10222.9694316280. The cubic root of 104509104 is about 471.0330438724.

The spelling of 104509104 in words is "one hundred four million, five hundred nine thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 61 84 112 122 168 183 244 336 366 427 488 732 854 976 1281 1464 1708 2562 2928 3416 5099 5124 6832 10198 10248 15297 20396 20496 30594 35693 40792 61188 71386 81584 107079 122376 142772 214158 244752 285544 311039 428316 571088 622078 856632 933117 1244156 1713264 1866234 2177273 2488312 3732468 4354546 4976624 6531819 7464936 8709092 13063638 14929872 17418184 26127276 34836368 52254552 104509104