103378320 has 120 divisors (see below), whose sum is σ = 352525056. Its totient is φ = 27143424.

The previous prime is 103378291. The next prime is 103378351. The reversal of 103378320 is 23873301.

103378320 is a `hidden beast` number, since 1 + 0 + 337 + 8 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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, 47169 + ... + 49311.

Almost surely, 2^103378320 is an apocalyptic number.

103378320 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 103378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176262528).

103378320 is an abundant number, since it is smaller than the sum of its proper divisors (249146736).

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

103378320 is a wasteful number, since it uses less digits than its factorization.

103378320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 103378320 is about 10167.5129702401. The cubic root of 103378320 is about 469.3280271941.

The spelling of 103378320 in words is "one hundred three million, three hundred seventy-eight thousand, three hundred twenty".