10206900 has 108 divisors (see below), whose sum is σ = 34935264. Its totient is φ = 2472000.

The previous prime is 10206893. The next prime is 10206901. The reversal of 10206900 is 960201.

It is a super-2 number, since 2×10206900² = 208361615220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10206901) 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, 9385 + ... + 10415.

Almost surely, 2^10206900 is an apocalyptic number.

10206900 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 10206900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17467632).

10206900 is an abundant number, since it is smaller than the sum of its proper divisors (24728364).

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

10206900 is a wasteful number, since it uses less digits than its factorization.

10206900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1052 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10206900 is about 3194.8239388110. The cubic root of 10206900 is about 216.9191796261.

The spelling of 10206900 in words is "ten million, two hundred six thousand, nine hundred".