100438800 has 240 divisors, whose sum is σ = 401498112. Its totient is φ = 20851200.

The previous prime is 100438787. The next prime is 100438817. The reversal of 100438800 is 8834001.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91857 + ... + 92943.

Almost surely, 2^100438800 is an apocalyptic number.

100438800 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 100438800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200749056).

100438800 is an abundant number, since it is smaller than the sum of its proper divisors (301059312).

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

100438800 is a wasteful number, since it uses less digits than its factorization.

100438800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1115 counting only the distinct ones).

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

The square root of 100438800 is about 10021.9159844812. The cubic root of 100438800 is about 464.8368024831.

The spelling of 100438800 in words is "one hundred million, four hundred thirty-eight thousand, eight hundred".