103303113100 has 144 divisors (see below), whose sum is σ = 257712005376. Its totient is φ = 35574880000.

The previous prime is 103303113091. The next prime is 103303113101. The reversal of 103303113100 is 1311303301.

It is a super-2 number, since 2×103303113100² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103303113101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2535087 + ... + 2575513.

It is an arithmetic number, because the mean of its divisors is an integer number (1789666704).

Almost surely, 2^103303113100 is an apocalyptic number.

103303113100 is a gapful number since it is divisible by the number (10) 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 103303113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128856002688).

103303113100 is an abundant number, since it is smaller than the sum of its proper divisors (154408892276).

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

103303113100 is a wasteful number, since it uses less digits than its factorization.

103303113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40576 (or 40569 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 103303113100 its reverse (1311303301), we get a palindrome (104614416401).

The spelling of 103303113100 in words is "one hundred three billion, three hundred three million, one hundred thirteen thousand, one hundred".