100228800 has 336 divisors, whose sum is σ = 398109440. Its totient is φ = 21565440.

The previous prime is 100228771. The next prime is 100228811. The reversal of 100228800 is 8822001.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 638322 + ... + 638478.

Almost surely, 2^100228800 is an apocalyptic number.

100228800 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 100228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199054720).

100228800 is an abundant number, since it is smaller than the sum of its proper divisors (297880640).

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

100228800 is a wasteful number, since it uses less digits than its factorization.

100228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 100228800 is about 10011.4334637953. The cubic root of 100228800 is about 464.5126122294.

The spelling of 100228800 in words is "one hundred million, two hundred twenty-eight thousand, eight hundred".