10006900 has 18 divisors (see below), whose sum is σ = 21715190. Its totient is φ = 4002720.

The previous prime is 10006883. The next prime is 10006933. The reversal of 10006900 is 960001.

It can be written as a sum of positive squares in 3 ways, for example, as 1838736 + 8168164 = 1356^2 + 2858^2 .

It is a super-2 number, since 2×10006900² = 200276095220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49935 + ... + 50134.

Almost surely, 2^10006900 is an apocalyptic number.

10006900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10006900 is an abundant number, since it is smaller than the sum of its proper divisors (11708290).

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

10006900 is a wasteful number, since it uses less digits than its factorization.

10006900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100083 (or 100076 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 10006900 is about 3163.3684578310. The cubic root of 10006900 is about 215.4930096085.

Adding to 10006900 its reverse (960001), we get a palindrome (10966901).

The spelling of 10006900 in words is "ten million, six thousand, nine hundred".