103984320 has 224 divisors, whose sum is σ = 370149120. Its totient is φ = 24514560.

The previous prime is 103984297. The next prime is 103984333. The reversal of 103984320 is 23489301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 453966 + ... + 454194.

Almost surely, 2^103984320 is an apocalyptic number.

103984320 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 103984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185074560).

103984320 is an abundant number, since it is smaller than the sum of its proper divisors (266164800).

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

103984320 is a wasteful number, since it uses less digits than its factorization.

103984320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 103984320 is about 10197.2702229567. The cubic root of 103984320 is about 470.2433024282.

The spelling of 103984320 in words is "one hundred three million, nine hundred eighty-four thousand, three hundred twenty".