103413200 has 120 divisors (see below), whose sum is σ = 285532320. Its totient is φ = 35596800.

The previous prime is 103413199. The next prime is 103413203. The reversal of 103413200 is 2314301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103413203) 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, 82982 + ... + 84218.

It is an arithmetic number, because the mean of its divisors is an integer number (2379436).

Almost surely, 2^103413200 is an apocalyptic number.

103413200 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 103413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142766160).

103413200 is an abundant number, since it is smaller than the sum of its proper divisors (182119120).

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

103413200 is a wasteful number, since it uses less digits than its factorization.

103413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1285 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 103413200 is about 10169.2280926332. The cubic root of 103413200 is about 469.3808052518.

Adding to 103413200 its reverse (2314301), we get a palindrome (105727501).

The spelling of 103413200 in words is "one hundred three million, four hundred thirteen thousand, two hundred".