103384320 has 288 divisors, whose sum is σ = 377731200. Its totient is φ = 23887872.

The previous prime is 103384313. The next prime is 103384331. The reversal of 103384320 is 23483301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 948426 + ... + 948534.

Almost surely, 2^103384320 is an apocalyptic number.

103384320 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 103384320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188865600).

103384320 is an abundant number, since it is smaller than the sum of its proper divisors (274346880).

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

103384320 is a wasteful number, since it uses less digits than its factorization.

103384320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 103384320 is about 10167.8080233647. The cubic root of 103384320 is about 469.3371068338.

The spelling of 103384320 in words is "one hundred three million, three hundred eighty-four thousand, three hundred twenty".