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104013525 = 35272113183
BaseRepresentation
bin1100011001100…
…01111011010101
321020201102201210
412030301323111
5203111413100
614153212033
72402046300
oct614617325
9236642653
10104013525
11537929a0
122aa01019
131871a585
14db57b37
1591e8c50
hex6331ed5

104013525 has 144 divisors (see below), whose sum is σ = 227985408. Its totient is φ = 41328000.

The previous prime is 104013461. The next prime is 104013527. The reversal of 104013525 is 525310401.

It is not a de Polignac number, because 104013525 - 26 = 104013461 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104013527) 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, 1253134 + ... + 1253216.

It is an arithmetic number, because the mean of its divisors is an integer number (1583232).

Almost surely, 2104013525 is an apocalyptic number.

104013525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104013525 is an abundant number, since it is smaller than the sum of its proper divisors (123971883).

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

104013525 is a wasteful number, since it uses less digits than its factorization.

104013525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 104013525 is about 10198.7021233096. The cubic root of 104013525 is about 470.2873224308.

Adding to 104013525 its reverse (525310401), we get a palindrome (629323926).

The spelling of 104013525 in words is "one hundred four million, thirteen thousand, five hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 31 33 35 49 55 75 77 83 93 105 147 155 165 175 217 231 245 249 275 341 385 415 465 525 539 581 651 735 775 825 913 1023 1085 1155 1225 1245 1519 1617 1705 1743 1925 2075 2325 2387 2573 2695 2739 2905 3255 3675 4067 4557 4565 5115 5425 5775 6225 6391 7161 7595 7719 8085 8525 8715 11935 12201 12865 13475 13695 14525 16275 16709 18011 19173 20335 22785 22825 25575 28303 31955 35805 37975 38595 40425 43575 44737 50127 54033 59675 61005 64325 68475 83545 84909 90055 95865 101675 113925 126077 134211 141515 159775 179025 192975 198121 223685 250635 270165 305025 378231 417725 424545 450275 479325 594363 630385 671055 707575 990605 1118425 1253175 1350825 1386847 1891155 2122725 2971815 3151925 3355275 4160541 4953025 6934235 9455775 14859075 20802705 34671175 104013525