103313400 has 96 divisors (see below), whose sum is σ = 321817200. Its totient is φ = 27417600.

The previous prime is 103313389. The next prime is 103313453. The reversal of 103313400 is 4313301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103313400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245190 + ... + 245610.

Almost surely, 2^103313400 is an apocalyptic number.

103313400 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 103313400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160908600).

103313400 is an abundant number, since it is smaller than the sum of its proper divisors (218503800).

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

103313400 is a wasteful number, since it uses less digits than its factorization.

103313400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 103313400 is about 10164.3199477388. The cubic root of 103313400 is about 469.2297630199.

Adding to 103313400 its reverse (4313301), we get a palindrome (107626701).

Subtracting from 103313400 its reverse (4313301), we obtain a palindrome (99000099).

It can be divided in two parts, 10331 and 3400, that added together give a palindrome (13731).

The spelling of 103313400 in words is "one hundred three million, three hundred thirteen thousand, four hundred".