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108126 = 2326007
BaseRepresentation
bin11010011001011110
312111022200
4122121132
511430001
62152330
7630144
oct323136
9174280
10108126
1174267
12526a6
133a2a5
142b594
1522086
hex1a65e

108126 has 12 divisors (see below), whose sum is σ = 234312. Its totient is φ = 36036.

The previous prime is 108109. The next prime is 108127. The reversal of 108126 is 621801.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 6007 = 108126 / (1 + 0 + 8 + 1 + 2 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 108099 and 108108.

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 5 ways as a sum of consecutive naturals, for example, 2986 + ... + 3021.

It is an arithmetic number, because the mean of its divisors is an integer number (19526).

108126 is a Friedman number, since it can be written as 18021*6, using all its digits and the basic arithmetic operations.

2108126 is an apocalyptic number.

108126 is an abundant number, since it is smaller than the sum of its proper divisors (126186).

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

108126 is a wasteful number, since it uses less digits than its factorization.

108126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6015 (or 6012 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 108126 is about 328.8251815175. The cubic root of 108126 is about 47.6405440406.

Adding to 108126 its reverse (621801), we get a palindrome (729927).

The spelling of 108126 in words is "one hundred eight thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 6007 12014 18021 36042 54063 108126