100444800 has 96 divisors (see below), whose sum is σ = 330871680. Its totient is φ = 26782720.

The previous prime is 100444763. The next prime is 100444801. The reversal of 100444800 is 8444001.

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

It is not an unprimeable number, because it can be changed into a prime (100444801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4369 + ... + 14831.

It is an arithmetic number, because the mean of its divisors is an integer number (3446580).

Almost surely, 2^100444800 is an apocalyptic number.

100444800 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 100444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165435840).

100444800 is an abundant number, since it is smaller than the sum of its proper divisors (230426880).

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

100444800 is a wasteful number, since it uses less digits than its factorization.

100444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10490 (or 10473 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 100444800 is about 10022.2153239690. The cubic root of 100444800 is about 464.8460584190.

Adding to 100444800 its reverse (8444001), we get a palindrome (108888801).

The spelling of 100444800 in words is "one hundred million, four hundred forty-four thousand, eight hundred".