10216800 has 288 divisors, whose sum is σ = 41247360. Its totient is φ = 2419200.

The previous prime is 10216799. The next prime is 10216837. The reversal of 10216800 is 861201.

10216800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 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, 237579 + ... + 237621.

It is an arithmetic number, because the mean of its divisors is an integer number (143220).

Almost surely, 2^10216800 is an apocalyptic number.

10216800 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 10216800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20623680).

10216800 is an abundant number, since it is smaller than the sum of its proper divisors (31030560).

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

10216800 is a wasteful number, since it uses less digits than its factorization.

10216800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10216800 is about 3196.3729444481. The cubic root of 10216800 is about 216.9892892559.

The spelling of 10216800 in words is "ten million, two hundred sixteen thousand, eight hundred".