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107243635460 = 225135323932563
BaseRepresentation
bin110001111100000111…
…0000000001100000100
3101020210222211011001112
41203320032000030010
53224113332313320
6121133403144152
710514411601143
oct1437016001404
9336728734045
10107243635460
1141533266695
121894b815058
13a16143a180
1452950bb75a
152bca12bec5
hex18f8380304

107243635460 has 96 divisors (see below), whose sum is σ = 248153310720. Its totient is φ = 38686781952.

The previous prime is 107243635427. The next prime is 107243635501. The reversal of 107243635460 is 64536342701.

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 31 ways as a sum of consecutive naturals, for example, 3277139 + ... + 3309701.

It is an arithmetic number, because the mean of its divisors is an integer number (2584930320).

Almost surely, 2107243635460 is an apocalyptic number.

107243635460 is a gapful number since it is divisible by the number (10) 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 107243635460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124076655360).

107243635460 is an abundant number, since it is smaller than the sum of its proper divisors (140909675260).

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

107243635460 is a wasteful number, since it uses less digits than its factorization.

107243635460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32877 (or 32875 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 41.

The spelling of 107243635460 in words is "one hundred seven billion, two hundred forty-three million, six hundred thirty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 106 130 212 239 260 265 478 530 689 956 1060 1195 1378 2390 2756 3107 3445 4780 6214 6890 12428 12667 13780 15535 25334 31070 32563 50668 62140 63335 65126 126670 130252 162815 164671 253340 325630 329342 423319 651260 658684 823355 846638 1646710 1693276 1725839 2116595 3293420 3451678 4233190 6903356 7782557 8466380 8629195 15565114 17258390 22435907 31130228 34516780 38912785 44871814 77825570 89743628 101173241 112179535 155651140 202346482 224359070 404692964 412475521 448718140 505866205 824951042 1011732410 1649902084 2023464820 2062377605 4124755210 5362181773 8249510420 10724363546 21448727092 26810908865 53621817730 107243635460