10803107844 has 81 divisors (see below), whose sum is σ = 29037186997. Its totient is φ = 3385884288.

The previous prime is 10803107831. The next prime is 10803107849. The reversal of 10803107844 is 44870130801.

The square root of 10803107844 is 103938.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8410724100 + 2392383744 = 91710^2 + 48912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10803107799 and 10803107808.

It is not an unprimeable number, because it can be changed into a prime (10803107849) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 10601167 + ... + 10602185.

Almost surely, 2^10803107844 is an apocalyptic number.

10803107844 is the 103938-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10803107844

10803107844 is an abundant number, since it is smaller than the sum of its proper divisors (18234079153).

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

10803107844 is a wasteful number, since it uses less digits than its factorization.

10803107844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 10803107844 by its sum of digits (36), we get a square (388911882384 = 623628²).

10803107844 divided by its sum of digits (36) gives a square (300086329 = 17323²).

The spelling of 10803107844 in words is "ten billion, eight hundred three million, one hundred seven thousand, eight hundred forty-four".