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108120 = 23351753
BaseRepresentation
bin11010011001011000
312111022110
4122121120
511424440
62152320
7630135
oct323130
9174273
10108120
1174261
12526a0
133a29c
142b58c
1522080
hex1a658

108120 has 64 divisors (see below), whose sum is σ = 349920. Its totient is φ = 26624.

The previous prime is 108109. The next prime is 108127. The reversal of 108120 is 21801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 108096 and 108105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108127) 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, 2014 + ... + 2066.

2108120 is an apocalyptic number.

108120 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 108120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174960).

108120 is an abundant number, since it is smaller than the sum of its proper divisors (241800).

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

108120 is a wasteful number, since it uses less digits than its factorization.

108120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 108120 is about 328.8160580020. The cubic root of 108120 is about 47.6396628200.

Adding to 108120 its reverse (21801), we get a palindrome (129921).

The spelling of 108120 in words is "one hundred eight thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 53 60 68 85 102 106 120 136 159 170 204 212 255 265 318 340 408 424 510 530 636 680 795 901 1020 1060 1272 1590 1802 2040 2120 2703 3180 3604 4505 5406 6360 7208 9010 10812 13515 18020 21624 27030 36040 54060 108120