44100144 has 90 divisors (see below), whose sum is σ = 135712668. Its totient is φ = 13358400.

The previous prime is 44100127. The next prime is 44100149.

44100144 is nontrivially palindromic in base 10.

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).

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (44100149) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16159 + ... + 18689.

Almost surely, 2^44100144 is an apocalyptic number.

44100144 is a gapful number since it is divisible by the number (44) 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 44100144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67856334).

44100144 is an abundant number, since it is smaller than the sum of its proper divisors (91612524).

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

44100144 is a wasteful number, since it uses less digits than its factorization.

44100144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2567 (or 2547 counting only the distinct ones).

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

The square root of 44100144 is about 6640.7939284396. The cubic root of 44100144 is about 353.3024663515.

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

The spelling of 44100144 in words is "forty-four million, one hundred thousand, one hundred forty-four".