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108135 = 35589
BaseRepresentation
bin11010011001100111
312111100000
4122121213
511430020
62152343
7630156
oct323147
9174300
10108135
1174275
12526b3
133a2b1
142b59d
1522090
hex1a667

108135 has 24 divisors (see below), whose sum is σ = 196560. Its totient is φ = 57024.

The previous prime is 108131. The next prime is 108139. The reversal of 108135 is 531801.

Adding to 108135 its reverse (531801), we get a palindrome (639936).

It can be divided in two parts, 108 and 135, that added together give a 5-th power (243 = 35).

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (108131) and next prime (108139).

It is not a de Polignac number, because 108135 - 22 = 108131 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1171 + ... + 1259.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

108135 is a Friedman number, since it can be written as 801*135, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 135801 (with its own digits).

2108135 is an apocalyptic number.

108135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

108135 is a deficient number, since it is larger than the sum of its proper divisors (88425).

108135 is an frugal number, since it uses more digits than its factorization.

108135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 108135 is about 328.8388663160. The cubic root of 108135 is about 47.6418658102.

The spelling of 108135 in words is "one hundred eight thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 81 89 135 243 267 405 445 801 1215 1335 2403 4005 7209 12015 21627 36045 108135