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108900 = 223252112
BaseRepresentation
bin11010100101100100
312112101100
4122211210
511441100
62200100
7632331
oct324544
9175340
10108900
1174900
1253030
133a74c
142b988
1522400
hex1a964

108900 has 81 divisors (see below), whose sum is σ = 375193. Its totient is φ = 26400.

The previous prime is 108893. The next prime is 108907. The reversal of 108900 is 9801.

Subtracting from 108900 its reverse (9801), we obtain a palindrome (99099).

Multipling 108900 by its reverse (9801), we get a square (1067328900 = 326702).

108900 = T329 + T330.

The square root of 108900 is 330.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (108893) and next prime (108907).

It can be written as a sum of positive squares in only one way, i.e., 39204 + 69696 = 198^2 + 264^2 .

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

It is a Duffinian number.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (108907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9895 + ... + 9905.

2108900 is an apocalyptic number.

108900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108900 is the 330-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108900

108900 is an abundant number, since it is smaller than the sum of its proper divisors (266293).

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

108900 is a wasteful number, since it uses less digits than its factorization.

108900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The cubic root of 108900 is about 47.7539492179.

The spelling of 108900 in words is "one hundred eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 121 132 150 165 180 198 220 225 242 275 300 330 363 396 450 484 495 550 605 660 726 825 900 990 1089 1100 1210 1452 1650 1815 1980 2178 2420 2475 3025 3300 3630 4356 4950 5445 6050 7260 9075 9900 10890 12100 18150 21780 27225 36300 54450 108900