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106608684 = 223713233419
BaseRepresentation
bin1100101101010…
…11100000101100
321102121021121210
412112223200230
5204242434214
614324554420
72433105330
oct626534054
9242537553
10106608684
11551a5756
122b852a10
1319118880
14102317c0
15955cb59
hex65ab82c

106608684 has 96 divisors (see below), whose sum is σ = 308206080. Its totient is φ = 27929088.

The previous prime is 106608679. The next prime is 106608707. The reversal of 106608684 is 486806601.

It is a super-2 number, since 2×1066086842 = 22730823008423712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 254227 + ... + 254645.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2106608684 is an apocalyptic number.

106608684 is a gapful number since it is divisible by the number (14) 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 106608684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

106608684 is an abundant number, since it is smaller than the sum of its proper divisors (201597396).

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

106608684 is a wasteful number, since it uses less digits than its factorization.

106608684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 106608684 is about 10325.1481345306. The cubic root of 106608684 is about 474.1664924572.

The spelling of 106608684 in words is "one hundred six million, six hundred eight thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 233 273 364 419 466 546 699 838 932 1092 1257 1398 1631 1676 2514 2796 2933 3029 3262 4893 5028 5447 5866 6058 6524 8799 9087 9786 10894 11732 12116 16341 17598 18174 19572 21203 21788 32682 35196 36348 38129 42406 63609 65364 76258 84812 97627 114387 127218 152516 195254 228774 254436 292881 390508 457548 585762 683389 1171524 1269151 1366778 2050167 2538302 2733556 3807453 4100334 5076604 7614906 8200668 8884057 15229812 17768114 26652171 35536228 53304342 106608684