10208000 has 144 divisors (see below), whose sum is σ = 28697760. Its totient is φ = 3584000.

The previous prime is 10207999. The next prime is 10208027. The reversal of 10208000 is 80201.

It is a Harshad number since it is a multiple of its sum of digits (11).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351986 + ... + 352014.

It is an arithmetic number, because the mean of its divisors is an integer number (199290).

Almost surely, 2^10208000 is an apocalyptic number.

10208000 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 10208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14348880).

10208000 is an abundant number, since it is smaller than the sum of its proper divisors (18489760).

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

10208000 is an equidigital number, since it uses as much as digits as its factorization.

10208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 10208000 is about 3194.9960876345. The cubic root of 10208000 is about 216.9269718231.

Adding to 10208000 its reverse (80201), we get a palindrome (10288201).

The spelling of 10208000 in words is "ten million, two hundred eight thousand".