103513300 has 72 divisors (see below), whose sum is σ = 247171680. Its totient is φ = 37315200.

The previous prime is 103513253. The next prime is 103513301. The reversal of 103513300 is 3315301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103513301) 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, 152562 + ... + 153238.

It is an arithmetic number, because the mean of its divisors is an integer number (3432940).

Almost surely, 2^103513300 is an apocalyptic number.

103513300 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 103513300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123585840).

103513300 is an abundant number, since it is smaller than the sum of its proper divisors (143658380).

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

103513300 is a wasteful number, since it uses less digits than its factorization.

103513300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 16.

The square root of 103513300 is about 10174.1486130290. The cubic root of 103513300 is about 469.5322039348.

Adding to 103513300 its reverse (3315301), we get a palindrome (106828601).

The spelling of 103513300 in words is "one hundred three million, five hundred thirteen thousand, three hundred".