10214144 has 36 divisors (see below), whose sum is σ = 21596904. Its totient is φ = 4804608.

The previous prime is 10214123. The next prime is 10214179. The reversal of 10214144 is 44141201.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 3179 + ... + 5525.

It is an arithmetic number, because the mean of its divisors is an integer number (599914).

Almost surely, 2^10214144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10214144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10798452).

10214144 is an abundant number, since it is smaller than the sum of its proper divisors (11382760).

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

10214144 is an equidigital number, since it uses as much as digits as its factorization.

10214144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 10214144 is about 3195.9574465252. The cubic root of 10214144 is about 216.9704844932.

Adding to 10214144 its reverse (44141201), we get a palindrome (54355345).

The spelling of 10214144 in words is "ten million, two hundred fourteen thousand, one hundred forty-four".