1003442112 has 168 divisors, whose sum is σ = 2951195520. Its totient is φ = 325900800.

The previous prime is 1003442093. The next prime is 1003442129. The reversal of 1003442112 is 2112443001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6645237 + ... + 6645387.

It is an arithmetic number, because the mean of its divisors is an integer number (17566640).

Almost surely, 2^1003442112 is an apocalyptic number.

1003442112 is a gapful number since it is divisible by the number (12) 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 1003442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475597760).

1003442112 is an abundant number, since it is smaller than the sum of its proper divisors (1947753408).

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

1003442112 is a wasteful number, since it uses less digits than its factorization.

1003442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 378 counting only the distinct ones).

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

The square root of 1003442112 is about 31677.1544176556. The cubic root of 1003442112 is about 1001.1460567189.

Adding to 1003442112 its reverse (2112443001), we get a palindrome (3115885113).

The spelling of 1003442112 in words is "one billion, three million, four hundred forty-two thousand, one hundred twelve".