100660800 has 168 divisors, whose sum is σ = 336251296. Its totient is φ = 26357760.

The previous prime is 100660783. The next prime is 100660817. The reversal of 100660800 is 8066001.

It is an interprime number because it is at equal distance from previous prime (100660783) and next prime (100660817).

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 23 ways as a sum of consecutive naturals, for example, 321444 + ... + 321756.

Almost surely, 2^100660800 is an apocalyptic number.

100660800 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 100660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168125648).

100660800 is an abundant number, since it is smaller than the sum of its proper divisors (235590496).

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

100660800 is a wasteful number, since it uses less digits than its factorization.

100660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 390 counting only the distinct ones).

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

The square root of 100660800 is about 10032.9855975178. The cubic root of 100660800 is about 465.1790269143.

The spelling of 100660800 in words is "one hundred million, six hundred sixty thousand, eight hundred".