1003114116 has 36 divisors (see below), whose sum is σ = 2560276992. Its totient is φ = 331123824.

The previous prime is 1003114109. The next prime is 1003114117. The reversal of 1003114116 is 6114113001.

1003114116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1003114116² = 2012475859436922912, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1003114117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 131556 + ... + 138971.

Almost surely, 2^1003114116 is an apocalyptic number.

It is an amenable number.

1003114116 is an abundant number, since it is smaller than the sum of its proper divisors (1557162876).

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

1003114116 is a wasteful number, since it uses less digits than its factorization.

1003114116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270640 (or 270635 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1003114116 is about 31671.9768249473. The cubic root of 1003114116 is about 1001.0369630027.

Adding to 1003114116 its reverse (6114113001), we get a palindrome (7117227117).

The spelling of 1003114116 in words is "one billion, three million, one hundred fourteen thousand, one hundred sixteen".