100450800 has 240 divisors, whose sum is σ = 365333760. Its totient is φ = 26208000.

The previous prime is 100450799. The next prime is 100450817. The reversal of 100450800 is 8054001.

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 (18).

It is a congruent number.

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, 766735 + ... + 766865.

It is an arithmetic number, because the mean of its divisors is an integer number (1522224).

Almost surely, 2^100450800 is an apocalyptic number.

100450800 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 100450800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182666880).

100450800 is an abundant number, since it is smaller than the sum of its proper divisors (264882960).

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

100450800 is a wasteful number, since it uses less digits than its factorization.

100450800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 100450800 is about 10022.5146545166. The cubic root of 100450800 is about 464.8553139863.

The spelling of 100450800 in words is "one hundred million, four hundred fifty thousand, eight hundred".