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105060204 = 223217415379
BaseRepresentation
bin1100100001100…
…01011101101100
321022200121111200
412100301131230
5203343411304
614231445500
72413665654
oct620613554
9238617450
10105060204
1154338317
122b226890
13189c5b02
14dd4b364
159353e39
hex643176c

105060204 has 144 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 31150080.

The previous prime is 105060203. The next prime is 105060227. The reversal of 105060204 is 402060501.

It is a happy number.

105060204 is a `hidden beast` number, since 10 + 50 + 602 + 0 + 4 = 666.

105060204 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1050602042 = 22075292929043232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

105060204 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (105060203) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1329837 + ... + 1329915.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2105060204 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 105060204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

105060204 is an abundant number, since it is smaller than the sum of its proper divisors (192138516).

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

105060204 is a wasteful number, since it uses less digits than its factorization.

105060204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105060204 is about 10249.8879993881. The cubic root of 105060204 is about 471.8595471688.

The spelling of 105060204 in words is "one hundred five million, sixty thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 41 51 53 68 79 82 102 106 123 153 158 159 164 204 212 237 246 306 316 318 369 474 477 492 612 636 697 711 738 901 948 954 1343 1394 1422 1476 1802 1908 2091 2173 2686 2703 2788 2844 3239 3604 4029 4182 4187 4346 5372 5406 6273 6478 6519 8058 8109 8364 8374 8692 9717 10812 12087 12546 12561 12956 13038 16116 16218 16748 19434 19557 24174 25092 25122 26076 29151 32436 36941 37683 38868 39114 48348 50244 55063 58302 71179 73882 75366 78228 110126 110823 116604 142358 147764 150732 165189 171667 213537 220252 221646 284716 330378 332469 343334 427074 443292 495567 515001 640611 660756 664938 686668 854148 991134 1030002 1281222 1329876 1545003 1982268 2060004 2562444 2918339 3090006 5836678 6180012 8755017 11673356 17510034 26265051 35020068 52530102 105060204