103228800 has 96 divisors (see below), whose sum is σ = 340041480. Its totient is φ = 27525120.

The previous prime is 103228793. The next prime is 103228813. The reversal of 103228800 is 8822301.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4224 + ... + 14976.

Almost surely, 2^103228800 is an apocalyptic number.

103228800 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 103228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170020740).

103228800 is an abundant number, since it is smaller than the sum of its proper divisors (236812680).

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

103228800 is a wasteful number, since it uses less digits than its factorization.

103228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10780 (or 10763 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 103228800 is about 10160.1574790945. The cubic root of 103228800 is about 469.1016490212.

The spelling of 103228800 in words is "one hundred three million, two hundred twenty-eight thousand, eight hundred".