1005104002144 has 96 divisors (see below), whose sum is σ = 2286165391776. Its totient is φ = 429898014720.

The previous prime is 1005104002117. The next prime is 1005104002151. The reversal of 1005104002144 is 4412004015001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32519562 + ... + 32550454.

It is an arithmetic number, because the mean of its divisors is an integer number (23814222831).

Almost surely, 2^{1005104002144} 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 1005104002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143082695888).

1005104002144 is an abundant number, since it is smaller than the sum of its proper divisors (1281061389632).

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

1005104002144 is a wasteful number, since it uses less digits than its factorization.

1005104002144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36368 (or 36360 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 1005104002144 its reverse (4412004015001), we get a palindrome (5417108017145).

The spelling of 1005104002144 in words is "one trillion, five billion, one hundred four million, two thousand, one hundred forty-four".