42102144 has 192 divisors, whose sum is σ = 145117440. Its totient is φ = 11455488.

The previous prime is 42102143. The next prime is 42102161. The reversal of 42102144 is 44120124.

It is a tau number, because it is divible by the number of its divisors (192).

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 (42102143) 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, 185359 + ... + 185585.

It is an arithmetic number, because the mean of its divisors is an integer number (755820).

Almost surely, 2^42102144 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 42102144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72558720).

42102144 is an abundant number, since it is smaller than the sum of its proper divisors (103015296).

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

42102144 is a wasteful number, since it uses less digits than its factorization.

42102144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 262 counting only the distinct ones).

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

The square root of 42102144 is about 6488.6164935216. The cubic root of 42102144 is about 347.8842262525.

Adding to 42102144 its reverse (44120124), we get a palindrome (86222268).

The spelling of 42102144 in words is "forty-two million, one hundred two thousand, one hundred forty-four".