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108000 = 253353
BaseRepresentation
bin11010010111100000
312111011000
4122113200
511424000
62152000
7626604
oct322740
9174130
10108000
1174162
1252600
133a209
142b504
1522000
hex1a5e0

108000 has 96 divisors (see below), whose sum is σ = 393120. Its totient is φ = 28800.

The previous prime is 107999. The next prime is 108007. The reversal of 108000 is 801.

Adding to 108000 its reverse (801), we get a palindrome (108801).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21598 + ... + 21602.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

2108000 is an apocalyptic number.

108000 is a gapful number since it is divisible by the number (10) 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 108000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

108000 is an abundant number, since it is smaller than the sum of its proper divisors (285120).

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

108000 is an equidigital number, since it uses as much as digits as its factorization.

108000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 108000 is about 328.6335345031. The cubic root of 108000 is about 47.6220315590.

The spelling of 108000 in words is "one hundred eight thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 72 75 80 90 96 100 108 120 125 135 144 150 160 180 200 216 225 240 250 270 288 300 360 375 400 432 450 480 500 540 600 675 720 750 800 864 900 1000 1080 1125 1200 1350 1440 1500 1800 2000 2160 2250 2400 2700 3000 3375 3600 4000 4320 4500 5400 6000 6750 7200 9000 10800 12000 13500 18000 21600 27000 36000 54000 108000