10989810 has 128 divisors (see below), whose sum is σ = 32901120. Its totient is φ = 2592000.

The previous prime is 10989787. The next prime is 10989817. The reversal of 10989810 is 1898901.

10989810 = T₁ + T₂ + ... + T₄₀₃.

10989810 is a nontrivial binomial coefficient, being equal to C(405, 3).

It is a super-2 number, since 2×10989810² = 241551847672200, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10989817) by changing a digit.

It is the 403-rd tetrahedral 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 63 ways as a sum of consecutive naturals, for example, 108760 + ... + 108860.

It is an arithmetic number, because the mean of its divisors is an integer number (257040).

Almost surely, 2^10989810 is an apocalyptic number.

10989810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10989810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

10989810 is an abundant number, since it is smaller than the sum of its proper divisors (21911310).

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

10989810 is a wasteful number, since it uses less digits than its factorization.

10989810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 10989810 is about 3315.0882341199. The cubic root of 10989810 is about 222.3293140309.

Subtracting from 10989810 its reverse (1898901), we obtain a palindrome (9090909).

The spelling of 10989810 in words is "ten million, nine hundred eighty-nine thousand, eight hundred ten".