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100144 = 2411569
BaseRepresentation
bin11000011100110000
312002101001
4120130300
511201034
62051344
7564652
oct303460
9162331
10100144
1169270
1249b54
1336775
14286d2
151ea14
hex18730

100144 has 20 divisors (see below), whose sum is σ = 212040. Its totient is φ = 45440.

The previous prime is 100129. The next prime is 100151. The reversal of 100144 is 441001.

Subtracting from 100144 its product of nonzero digits (16), we obtain a triangular number (100128 = T447).

Adding to 100144 its reverse (441001), we get a palindrome (541145).

It can be divided in two parts, 1001 and 44, that multiplied together give a palindrome (44044).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 109 + ... + 460.

It is an arithmetic number, because the mean of its divisors is an integer number (10602).

2100144 is an apocalyptic number.

It is an amenable number.

100144 is an abundant number, since it is smaller than the sum of its proper divisors (111896).

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

100144 is a wasteful number, since it uses less digits than its factorization.

100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 100144 is about 316.4553681011. The cubic root of 100144 is about 46.4381572769.

The spelling of 100144 in words is "one hundred thousand, one hundred forty-four", and thus it is an iban number.

Divisors: 1 2 4 8 11 16 22 44 88 176 569 1138 2276 4552 6259 9104 12518 25036 50072 100144