10206000 has 280 divisors, whose sum is σ = 42285984. Its totient is φ = 2332800.

The previous prime is 10205989. The next prime is 10206019. The reversal of 10206000 is 60201.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 55 ways as a sum of consecutive naturals, for example, 1457997 + ... + 1458003.

Almost surely, 2^10206000 is an apocalyptic number.

10206000 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 10206000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21142992).

10206000 is an abundant number, since it is smaller than the sum of its proper divisors (32079984).

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

10206000 is an frugal number, since it uses more digits than its factorization.

10206000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10206000 is about 3194.6830828738. The cubic root of 10206000 is about 216.9128037758.

Adding to 10206000 its reverse (60201), we get a palindrome (10266201).

The spelling of 10206000 in words is "ten million, two hundred six thousand".