14444100 has 108 divisors (see below), whose sum is σ = 49423920. Its totient is φ = 3499200.

The previous prime is 14444093. The next prime is 14444107. The reversal of 14444100 is 144441.

It is an interprime number because it is at equal distance from previous prime (14444093) and next prime (14444107).

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

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (14444107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9171 + ... + 10629.

Almost surely, 2^14444100 is an apocalyptic number.

14444100 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 14444100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24711960).

14444100 is an abundant number, since it is smaller than the sum of its proper divisors (34979820).

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

14444100 is a wasteful number, since it uses less digits than its factorization.

14444100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 14444100 is about 3800.5394353960. The cubic root of 14444100 is about 243.5361833042.

Adding to 14444100 its reverse (144441), we get a palindrome (14588541).

Multiplying 14444100 by its reverse (144441), we get a square (2086320248100 = 1444410²).

14444100 divided by its reverse (144441) gives a square (100 = 10²).

It can be divided in two parts, 144 and 44100, that multiplied together give a square (6350400 = 2520²).

The spelling of 14444100 in words is "fourteen million, four hundred forty-four thousand, one hundred".