10606900 has 36 divisors (see below), whose sum is σ = 23348332. Its totient is φ = 4181760.

The previous prime is 10606889. The next prime is 10606949. The reversal of 10606900 is 960601.

It can be written as a sum of positive squares in 6 ways, for example, as 443556 + 10163344 = 666^2 + 3188^2 .

It is a super-2 number, since 2×10606900² = 225012655220000, 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 11 ways as a sum of consecutive naturals, for example, 6574 + ... + 8026.

Almost surely, 2^10606900 is an apocalyptic number.

10606900 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 10606900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11674166).

10606900 is an abundant number, since it is smaller than the sum of its proper divisors (12741432).

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

10606900 is a wasteful number, since it uses less digits than its factorization.

10606900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 10606900 is about 3256.8236059081. The cubic root of 10606900 is about 219.7165771760.

The spelling of 10606900 in words is "ten million, six hundred six thousand, nine hundred".