103881600 has 144 divisors (see below), whose sum is σ = 370776120. Its totient is φ = 27694080.

The previous prime is 103881599. The next prime is 103881647. The reversal of 103881600 is 6188301.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26997 + ... + 30603.

Almost surely, 2^103881600 is an apocalyptic number.

103881600 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 103881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185388060).

103881600 is an abundant number, since it is smaller than the sum of its proper divisors (266894520).

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

103881600 is a wasteful number, since it uses less digits than its factorization.

103881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3637 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 103881600 is about 10192.2323364413. The cubic root of 103881600 is about 470.0884095042.

The spelling of 103881600 in words is "one hundred three million, eight hundred eighty-one thousand, six hundred".