Search a number
-
+
106656066 = 232114773157
BaseRepresentation
bin1100101101101…
…11000101000010
321102200200121200
412112313011002
5204300443231
614330002030
72433363426
oct626670502
9242620550
10106656066
1155228310
122b876316
13191342ca
1410244b86
15956bbe6
hex65b7142

106656066 has 96 divisors (see below), whose sum is σ = 262649088. Its totient is φ = 31000320.

The previous prime is 106656049. The next prime is 106656073. The reversal of 106656066 is 660656601.

It is a super-2 number, since 2×1066560662 = 22751032829192712, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106656066.

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 47 ways as a sum of consecutive naturals, for example, 679260 + ... + 679416.

It is an arithmetic number, because the mean of its divisors is an integer number (2735928).

Almost surely, 2106656066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106656066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131324544).

106656066 is an abundant number, since it is smaller than the sum of its proper divisors (155993022).

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

106656066 is a wasteful number, since it uses less digits than its factorization.

106656066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 106656066 is about 10327.4423745669. The cubic root of 106656066 is about 474.2367294781.

The spelling of 106656066 in words is "one hundred six million, six hundred fifty-six thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 33 47 66 73 94 99 141 146 157 198 219 282 314 423 438 471 517 657 803 846 942 1034 1314 1413 1551 1606 1727 2409 2826 3102 3431 3454 4653 4818 5181 6862 7227 7379 9306 10293 10362 11461 14454 14758 15543 20586 22137 22922 30879 31086 34383 37741 44274 61758 66411 68766 75482 81169 103149 113223 126071 132822 162338 206298 226446 243507 252142 339669 378213 487014 538667 679338 730521 756426 1077334 1134639 1461042 1616001 2269278 3232002 4848003 5925337 9696006 11850674 17776011 35552022 53328033 106656066