103884480 has 168 divisors, whose sum is σ = 408444192. Its totient is φ = 23740416.

The previous prime is 103884463. The next prime is 103884511. The reversal of 103884480 is 84488301.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 17584 + ... + 22736.

Almost surely, 2^103884480 is an apocalyptic number.

103884480 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 103884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204222096).

103884480 is an abundant number, since it is smaller than the sum of its proper divisors (304559712).

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

103884480 is a wasteful number, since it uses less digits than its factorization.

103884480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5183 (or 5170 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 103884480 is about 10192.3736195255. The cubic root of 103884480 is about 470.0927536874.

The spelling of 103884480 in words is "one hundred three million, eight hundred eighty-four thousand, four hundred eighty".