1000103440 has 80 divisors (see below), whose sum is σ = 2664829440. Its totient is φ = 341936640.

The previous prime is 1000103407. The next prime is 1000103443. The reversal of 1000103440 is 443010001.

1000103440 is digitally balanced in base 2, because in such base 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 (80).

It is a self number, because there is not a number n which added to its sum of digits gives 1000103440.

It is not an unprimeable number, because it can be changed into a prime (1000103443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215545 + ... + 220135.

It is an arithmetic number, because the mean of its divisors is an integer number (33310368).

Almost surely, 2^1000103440 is an apocalyptic number.

1000103440 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 1000103440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332414720).

1000103440 is an abundant number, since it is smaller than the sum of its proper divisors (1664726000).

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

1000103440 is a wasteful number, since it uses less digits than its factorization.

1000103440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5000 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1000103440 is about 31624.4120893970. The cubic root of 1000103440 is about 1000.0344788112.

Adding to 1000103440 its reverse (443010001), we get a palindrome (1443113441).

The spelling of 1000103440 in words is "one billion, one hundred three thousand, four hundred forty".