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108065124 = 22331771829
BaseRepresentation
bin1100111000011…
…11000101100100
321112100021111000
412130033011210
5210131040444
614420113300
72451352446
oct634170544
9245307430
10108065124
1155aaaa22
1230235830
131950877b
14104d0496
159749469
hex670f164

108065124 has 96 divisors (see below), whose sum is σ = 301190400. Its totient is φ = 33384960.

The previous prime is 108065119. The next prime is 108065143. The reversal of 108065124 is 421560801.

108065124 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 651 + 2 + 4 = 666.

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

It is a zygodrome in base 11.

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, 129942 + ... + 130770.

It is an arithmetic number, because the mean of its divisors is an integer number (3137400).

Almost surely, 2108065124 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 108065124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150595200).

108065124 is an abundant number, since it is smaller than the sum of its proper divisors (193125276).

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

108065124 is a wasteful number, since it uses less digits than its factorization.

108065124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 108065124 is about 10395.4376531246. The cubic root of 108065124 is about 476.3160166406.

The spelling of 108065124 in words is "one hundred eight million, sixty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 71 102 108 142 153 204 213 284 306 426 459 612 639 829 852 918 1207 1278 1658 1836 1917 2414 2487 2556 3316 3621 3834 4828 4974 7242 7461 7668 9948 10863 14093 14484 14922 21726 22383 28186 29844 32589 42279 43452 44766 56372 58859 65178 84558 89532 117718 126837 130356 169116 176577 235436 253674 353154 380511 507348 529731 706308 761022 1000603 1059462 1522044 1589193 2001206 2118924 3001809 3178386 4002412 6003618 6356772 9005427 12007236 18010854 27016281 36021708 54032562 108065124