100066800 has 60 divisors (see below), whose sum is σ = 320551160. Its totient is φ = 26684160.

The previous prime is 100066781. The next prime is 100066823. The reversal of 100066800 is 8660001.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40495 + ... + 42894.

Almost surely, 2^100066800 is an apocalyptic number.

100066800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100066800 is an abundant number, since it is smaller than the sum of its proper divisors (220484360).

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

100066800 is a wasteful number, since it uses less digits than its factorization.

100066800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83410 (or 83399 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 100066800 is about 10003.3394424062. The cubic root of 100066800 is about 464.2622130680.

The spelling of 100066800 in words is "one hundred million, sixty-six thousand, eight hundred".