103880800 has 72 divisors (see below), whose sum is σ = 256624200. Its totient is φ = 41057280.

The previous prime is 103880797. The next prime is 103880801. The reversal of 103880800 is 8088301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103880801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70471 + ... + 71929.

It is an arithmetic number, because the mean of its divisors is an integer number (3564225).

Almost surely, 2^103880800 is an apocalyptic number.

103880800 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 103880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128312100).

103880800 is an abundant number, since it is smaller than the sum of its proper divisors (152743400).

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

103880800 is a wasteful number, since it uses less digits than its factorization.

103880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568 (or 1555 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 103880800 is about 10192.1930907926. The cubic root of 103880800 is about 470.0872027724.

The spelling of 103880800 in words is "one hundred three million, eight hundred eighty thousand, eight hundred".