10900800 has 126 divisors (see below), whose sum is σ = 38795198. Its totient is φ = 2903040.

The previous prime is 10900787. The next prime is 10900807. The reversal of 10900800 is 800901.

It can be written as a sum of positive squares in 3 ways, for example, as 1016064 + 9884736 = 1008^2 + 3144^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10900807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14022 + ... + 14778.

Almost surely, 2^10900800 is an apocalyptic number.

10900800 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 10900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19397599).

10900800 is an abundant number, since it is smaller than the sum of its proper divisors (27894398).

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

10900800 is a wasteful number, since it uses less digits than its factorization.

10900800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 10900800 is about 3301.6359581274. The cubic root of 10900800 is about 221.7274473560.

The spelling of 10900800 in words is "ten million, nine hundred thousand, eight hundred".