10990800 has 180 divisors, whose sum is σ = 39577824. Its totient is φ = 2822400.

The previous prime is 10990787. The next prime is 10990841. The reversal of 10990800 is 809901.

10990800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154765 + ... + 154835.

Almost surely, 2^10990800 is an apocalyptic number.

10990800 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 10990800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19788912).

10990800 is an abundant number, since it is smaller than the sum of its proper divisors (28587024).

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

10990800 is a wasteful number, since it uses less digits than its factorization.

10990800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 10990800 is about 3315.2375480499. The cubic root of 10990800 is about 222.3359898943.

It can be divided in two parts, 109 and 90800, that added together give a palindrome (90909).

The spelling of 10990800 in words is "ten million, nine hundred ninety thousand, eight hundred".