1003145616 has 180 divisors, whose sum is σ = 3169417680. Its totient is φ = 293731200.

The previous prime is 1003145609. The next prime is 1003145617. The reversal of 1003145616 is 6165413001.

1003145616 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 1 + 45 + 616 = 666.

1003145616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1003145616² = 2012602253800038912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1003145616.

It is not an unprimeable number, because it can be changed into a prime (1003145617) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1521895 + ... + 1522553.

It is an arithmetic number, because the mean of its divisors is an integer number (17607876).

Almost surely, 2^1003145616 is an apocalyptic number.

1003145616 is a gapful number since it is divisible by the number (16) 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 1003145616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584708840).

1003145616 is an abundant number, since it is smaller than the sum of its proper divisors (2166272064).

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

1003145616 is a wasteful number, since it uses less digits than its factorization.

1003145616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1003145616 is about 31672.4741060751. The cubic root of 1003145616 is about 1001.0474411506.

Adding to 1003145616 its reverse (6165413001), we get a palindrome (7168558617).

The spelling of 1003145616 in words is "one billion, three million, one hundred forty-five thousand, six hundred sixteen".