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104581104 = 24331671049
BaseRepresentation
bin1100011101111…
…00011111110000
321021210021022020
412032330133300
5203233043404
614213311440
72406632115
oct616743760
9237707266
10104581104
1154040371
122b035580
1318888a14
14dc6490c
1592abed9
hex63bc7f0

104581104 has 80 divisors (see below), whose sum is σ = 283315200. Its totient is φ = 33200640.

The previous prime is 104581091. The next prime is 104581121. The reversal of 104581104 is 401185401.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99172 + ... + 100220.

It is an arithmetic number, because the mean of its divisors is an integer number (3541440).

Almost surely, 2104581104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104581104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141657600).

104581104 is an abundant number, since it is smaller than the sum of its proper divisors (178734096).

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

104581104 is a wasteful number, since it uses less digits than its factorization.

104581104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 104581104 is about 10226.4903070408. The cubic root of 104581104 is about 471.1411894552.

The spelling of 104581104 in words is "one hundred four million, five hundred eighty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 67 93 124 134 186 201 248 268 372 402 496 536 744 804 1049 1072 1488 1608 2077 2098 3147 3216 4154 4196 6231 6294 8308 8392 12462 12588 16616 16784 24924 25176 32519 33232 49848 50352 65038 70283 97557 99696 130076 140566 195114 210849 260152 281132 390228 421698 520304 562264 780456 843396 1124528 1560912 1686792 2178773 3373584 4357546 6536319 8715092 13072638 17430184 26145276 34860368 52290552 104581104