10900900 has 36 divisors (see below), whose sum is σ = 24022768. Its totient is φ = 4292640.

The previous prime is 10900891. The next prime is 10900907. The reversal of 10900900 is 900901.

It is not an unprimeable number, because it can be changed into a prime (10900907) by changing a digit.

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, 5887 + ... + 7513.

Almost surely, 2^10900900 is an apocalyptic number.

10900900 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 10900900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12011384).

10900900 is an abundant number, since it is smaller than the sum of its proper divisors (13121868).

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

10900900 is a wasteful number, since it uses less digits than its factorization.

10900900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 10900900 is about 3301.6511021003. The cubic root of 10900900 is about 221.7281253697.

Subtracting from 10900900 its reverse (900901), we obtain a palindrome (9999999).

The spelling of 10900900 in words is "ten million, nine hundred thousand, nine hundred".