100886400 has 288 divisors, whose sum is σ = 374886720. Its totient is φ = 25804800.

The previous prime is 100886399. The next prime is 100886407. The reversal of 100886400 is 4688001.

100886400 is a `hidden beast` number, since 10 + 0 + 8 + 8 + 640 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100886407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 892744 + ... + 892856.

It is an arithmetic number, because the mean of its divisors is an integer number (1301690).

Almost surely, 2^100886400 is an apocalyptic number.

100886400 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 100886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187443360).

100886400 is an abundant number, since it is smaller than the sum of its proper divisors (274000320).

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

100886400 is a wasteful number, since it uses less digits than its factorization.

100886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 100886400 is about 10044.2222197640. Note that the first 4 decimals coincide. The cubic root of 100886400 is about 465.5262858467.

The spelling of 100886400 in words is "one hundred million, eight hundred eighty-six thousand, four hundred".