Search a number
-
+
108066 = 2373183
BaseRepresentation
bin11010011000100010
312111020110
4122120202
511424231
62152150
7630030
oct323042
9174213
10108066
1174212
1252656
133a25a
142b550
1522046
hex1a622

108066 has 32 divisors (see below), whose sum is σ = 258048. Its totient is φ = 29520.

The previous prime is 108061. The next prime is 108079. The reversal of 108066 is 660801.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (108061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1261 + ... + 1343.

It is an arithmetic number, because the mean of its divisors is an integer number (8064).

2108066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129024).

108066 is an abundant number, since it is smaller than the sum of its proper divisors (149982).

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

108066 is a wasteful number, since it uses less digits than its factorization.

108066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 108066 is about 328.7339349687. The cubic root of 108066 is about 47.6317303678.

Adding to 108066 its reverse (660801), we get a palindrome (768867).

The spelling of 108066 in words is "one hundred eight thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 83 93 166 186 217 249 434 498 581 651 1162 1302 1743 2573 3486 5146 7719 15438 18011 36022 54033 108066