10242144 has 144 divisors (see below), whose sum is σ = 32904144. Its totient is φ = 2995200.

The previous prime is 10242137. The next prime is 10242149. The reversal of 10242144 is 44124201.

10242144 = T₅₉₅ + T₅₉₆ + ... + T₆₄₇.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10242149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167874 + ... + 167934.

It is an arithmetic number, because the mean of its divisors is an integer number (228501).

Almost surely, 2^10242144 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 10242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16452072).

10242144 is an abundant number, since it is smaller than the sum of its proper divisors (22662000).

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

10242144 is a wasteful number, since it uses less digits than its factorization.

10242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

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

The square root of 10242144 is about 3200.3349824667. The cubic root of 10242144 is about 217.1685637683.

Adding to 10242144 its reverse (44124201), we get a palindrome (54366345).

The spelling of 10242144 in words is "ten million, two hundred forty-two thousand, one hundred forty-four".