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108018 = 23217353
BaseRepresentation
bin11010010111110010
312111011200
4122113302
511424033
62152030
7626631
oct322762
9174150
10108018
1174179
1252616
133a221
142b518
1522013
hex1a5f2

108018 has 24 divisors (see below), whose sum is σ = 248508. Its totient is φ = 33792.

The previous prime is 108013. The next prime is 108023. The reversal of 108018 is 810801.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (108013) and next prime (108023).

It can be written as a sum of positive squares in 2 ways, for example, as 106929 + 1089 = 327^2 + 33^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 108018.

It is not an unprimeable number, because it can be changed into a prime (108011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130 + ... + 482.

2108018 is an apocalyptic number.

108018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 108018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124254).

108018 is an abundant number, since it is smaller than the sum of its proper divisors (140490).

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

108018 is a wasteful number, since it uses less digits than its factorization.

108018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 108018 is about 328.6609194900. The cubic root of 108018 is about 47.6246770805.

Adding to 108018 its reverse (810801), we get a palindrome (918819).

The spelling of 108018 in words is "one hundred eight thousand, eighteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 353 706 1059 2118 3177 6001 6354 12002 18003 36006 54009 108018