103380480 has 240 divisors, whose sum is σ = 409821984. Its totient is φ = 23592960.

The previous prime is 103380461. The next prime is 103380481. The reversal of 103380480 is 84083301.

103380480 is a `hidden beast` number, since 103 + 3 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103380481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 160960 + ... + 161600.

Almost surely, 2^103380480 is an apocalyptic number.

103380480 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 103380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204910992).

103380480 is an abundant number, since it is smaller than the sum of its proper divisors (306441504).

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

103380480 is an equidigital number, since it uses as much as digits as its factorization.

103380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 103380480 is about 10167.6191903513. The cubic root of 103380480 is about 469.3312959048.

The spelling of 103380480 in words is "one hundred three million, three hundred eighty thousand, four hundred eighty".