103117300 has 72 divisors (see below), whose sum is σ = 262920672. Its totient is φ = 34608000.

The previous prime is 103117283. The next prime is 103117307. The reversal of 103117300 is 3711301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103117307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10695 + ... + 17905.

It is an arithmetic number, because the mean of its divisors is an integer number (3651676).

Almost surely, 2^103117300 is an apocalyptic number.

103117300 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 103117300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131460336).

103117300 is an abundant number, since it is smaller than the sum of its proper divisors (159803372).

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

103117300 is a wasteful number, since it uses less digits than its factorization.

103117300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7249 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 16.

The square root of 103117300 is about 10154.6688769255. The cubic root of 103117300 is about 468.9326920471.

Adding to 103117300 its reverse (3711301), we get a palindrome (106828601).

The spelling of 103117300 in words is "one hundred three million, one hundred seventeen thousand, three hundred".