10200816 has 100 divisors (see below), whose sum is σ = 31328352. Its totient is φ = 3193344.

The previous prime is 10200809. The next prime is 10200821. The reversal of 10200816 is 61800201.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21801 + ... + 22263.

Almost surely, 2^10200816 is an apocalyptic number.

10200816 is a gapful number since it is divisible by the number (16) 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 10200816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664176).

10200816 is an abundant number, since it is smaller than the sum of its proper divisors (21127536).

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

10200816 is a wasteful number, since it uses less digits than its factorization.

10200816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 485 counting only the distinct ones).

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

The square root of 10200816 is about 3193.8716317348. The cubic root of 10200816 is about 216.8760715785.

The spelling of 10200816 in words is "ten million, two hundred thousand, eight hundred sixteen".