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107066610 = 2345723821
BaseRepresentation
bin1100110000110…
…11010011110010
321110110112210000
412120123103302
5204402112420
614342450430
72440023360
oct630332362
9243415700
10107066610
1155488802
122ba33a16
1319249131
1410310630
1595ed690
hex661b4f2

107066610 has 160 divisors (see below), whose sum is σ = 343740672. Its totient is φ = 23379840.

The previous prime is 107066551. The next prime is 107066627. The reversal of 107066610 is 16660701.

It is a super-2 number, since 2×1070666102 = 22926517953784200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 130000 + ... + 130820.

Almost surely, 2107066610 is an apocalyptic number.

107066610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 107066610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171870336).

107066610 is an abundant number, since it is smaller than the sum of its proper divisors (236674062).

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

107066610 is a wasteful number, since it uses less digits than its factorization.

107066610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107066610 is about 10347.2996477342. The cubic root of 107066610 is about 474.8444328970.

The spelling of 107066610 in words is "one hundred seven million, sixty-six thousand, six hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 81 90 105 115 126 135 138 161 162 189 207 210 230 270 315 322 345 378 405 414 483 567 621 630 690 805 810 821 945 966 1035 1134 1242 1449 1610 1642 1863 1890 2070 2415 2463 2835 2898 3105 3726 4105 4347 4830 4926 5670 5747 6210 7245 7389 8210 8694 9315 11494 12315 13041 14490 14778 17241 18630 18883 21735 22167 24630 26082 28735 34482 36945 37766 43470 44334 51723 56649 57470 65205 66501 73890 86205 94415 103446 110835 113298 130410 132181 133002 155169 169947 172410 188830 221670 258615 264362 283245 310338 332505 339894 396543 465507 509841 517230 566490 660905 665010 775845 793086 849735 931014 1019682 1189629 1321810 1529523 1551690 1699470 1982715 2327535 2379258 2549205 3059046 3568887 3965430 4655070 5098410 5948145 7137774 7647615 10706661 11896290 15295230 17844435 21413322 35688870 53533305 107066610