2106144 has 72 divisors (see below), whose sum is σ = 6132672. Its totient is φ = 685440.

The previous prime is 2106107. The next prime is 2106149. The reversal of 2106144 is 4416012.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (2106149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20397 + ... + 20499.

It is an arithmetic number, because the mean of its divisors is an integer number (85176).

2^2106144 is an apocalyptic number.

2106144 is a gapful number since it is divisible by the number (24) 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 2106144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066336).

2106144 is an abundant number, since it is smaller than the sum of its proper divisors (4026528).

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

2106144 is a wasteful number, since it uses less digits than its factorization.

2106144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2106144 is about 1451.2560077395. The cubic root of 2106144 is about 128.1826818604.

The spelling of 2106144 in words is "two million, one hundred six thousand, one hundred forty-four".