103312400 has 60 divisors (see below), whose sum is σ = 262825812. Its totient is φ = 38891520.

The previous prime is 103312393. The next prime is 103312403. The reversal of 103312400 is 4213301.

It can be written as a sum of positive squares in 6 ways, for example, as 11075584 + 92236816 = 3328^2 + 9604^2 .

It is not an unprimeable number, because it can be changed into a prime (103312403) 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, 797 + ... + 14396.

Almost surely, 2^103312400 is an apocalyptic number.

103312400 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 103312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131412906).

103312400 is an abundant number, since it is smaller than the sum of its proper divisors (159513412).

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

103312400 is a wasteful number, since it uses less digits than its factorization.

103312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15228 (or 15217 counting only the distinct ones).

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

The square root of 103312400 is about 10164.2707559372. The cubic root of 103312400 is about 469.2282490786.

Adding to 103312400 its reverse (4213301), we get a palindrome (107525701).

Subtracting from 103312400 its reverse (4213301), we obtain a palindrome (99099099).

The spelling of 103312400 in words is "one hundred three million, three hundred twelve thousand, four hundred".