10909800 has 288 divisors, whose sum is σ = 43524000. Its totient is φ = 2419200.

The previous prime is 10909763. The next prime is 10909807. The reversal of 10909800 is 890901.

It is not an unprimeable number, because it can be changed into a prime (10909807) 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 71 ways as a sum of consecutive naturals, for example, 376186 + ... + 376214.

It is an arithmetic number, because the mean of its divisors is an integer number (151125).

Almost surely, 2^10909800 is an apocalyptic number.

10909800 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 10909800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21762000).

10909800 is an abundant number, since it is smaller than the sum of its proper divisors (32614200).

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

10909800 is a wasteful number, since it uses less digits than its factorization.

10909800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 69 counting only the distinct ones).

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

The square root of 10909800 is about 3302.9986376019. The cubic root of 10909800 is about 221.7884519943.

The spelling of 10909800 in words is "ten million, nine hundred nine thousand, eight hundred".