100807200 has 288 divisors, whose sum is σ = 393724800. Its totient is φ = 24744960.

The previous prime is 100807169. The next prime is 100807211. The reversal of 100807200 is 2708001.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280621 + ... + 280979.

It is an arithmetic number, because the mean of its divisors is an integer number (1367100).

Almost surely, 2^100807200 is an apocalyptic number.

100807200 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 100807200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196862400).

100807200 is an abundant number, since it is smaller than the sum of its proper divisors (292917600).

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

100807200 is a wasteful number, since it uses less digits than its factorization.

100807200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 100807200 is about 10040.2788805889. The cubic root of 100807200 is about 465.4044348204.

The spelling of 100807200 in words is "one hundred million, eight hundred seven thousand, two hundred".