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104523104 = 2571941599
BaseRepresentation
bin1100011101011…
…10010101100000
321021200022202002
412032232111200
5203224214404
614212143132
72406301040
oct616562540
9237608662
10104523104
1154000834
122b007aa8
13188684ba
14dc4b720
159299c1e
hex63ae560

104523104 has 96 divisors (see below), whose sum is σ = 254016000. Its totient is φ = 41333760.

The previous prime is 104523091. The next prime is 104523131. The reversal of 104523104 is 401325401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174197 + ... + 174795.

It is an arithmetic number, because the mean of its divisors is an integer number (2646000).

Almost surely, 2104523104 is an apocalyptic number.

104523104 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 104523104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127008000).

104523104 is an abundant number, since it is smaller than the sum of its proper divisors (149492896).

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

104523104 is a wasteful number, since it uses less digits than its factorization.

104523104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 104523104 is about 10223.6541412550. The cubic root of 104523104 is about 471.0540760694.

Adding to 104523104 its reverse (401325401), we get a palindrome (505848505).

The spelling of 104523104 in words is "one hundred four million, five hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 41 56 76 82 112 133 152 164 224 266 287 304 328 532 574 599 608 656 779 1064 1148 1198 1312 1558 2128 2296 2396 3116 4193 4256 4592 4792 5453 6232 8386 9184 9584 10906 11381 12464 16772 19168 21812 22762 24559 24928 33544 43624 45524 49118 67088 79667 87248 91048 98236 134176 159334 171913 174496 182096 196472 318668 343826 364192 392944 466621 637336 687652 785888 933242 1274672 1375304 1866484 2549344 2750608 3266347 3732968 5501216 6532694 7465936 13065388 14931872 26130776 52261552 104523104