103312320 has 112 divisors (see below), whose sum is σ = 342351360. Its totient is φ = 26346496.

The previous prime is 103312303. The next prime is 103312327. The reversal of 103312320 is 23213301.

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 103312320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19741 + ... + 24419.

Almost surely, 2^103312320 is an apocalyptic number.

103312320 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 103312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171175680).

103312320 is an abundant number, since it is smaller than the sum of its proper divisors (239039040).

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

103312320 is a wasteful number, since it uses less digits than its factorization.

103312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4722 (or 4712 counting only the distinct ones).

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

The square root of 103312320 is about 10164.2668205828. The cubic root of 103312320 is about 469.2281279629.

Adding to 103312320 its reverse (23213301), we get a palindrome (126525621).

The spelling of 103312320 in words is "one hundred three million, three hundred twelve thousand, three hundred twenty".