1000103104 has 224 divisors, whose sum is σ = 2715987456. Its totient is φ = 352788480.

The previous prime is 1000103101. The next prime is 1000103129. The reversal of 1000103104 is 4013010001.

It is a happy number.

1000103104 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 (224).

It is not an unprimeable number, because it can be changed into a prime (1000103101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4292172 + ... + 4292404.

It is an arithmetic number, because the mean of its divisors is an integer number (12124944).

Almost surely, 2^1000103104 is an apocalyptic number.

1000103104 is a gapful number since it is divisible by the number (14) 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 1000103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357993728).

1000103104 is an abundant number, since it is smaller than the sum of its proper divisors (1715884352).

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

1000103104 is a wasteful number, since it uses less digits than its factorization.

1000103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1000103104 is about 31624.4067770448. The cubic root of 1000103104 is about 1000.0343668189.

Adding to 1000103104 its reverse (4013010001), we get a palindrome (5013113105).

The spelling of 1000103104 in words is "one billion, one hundred three thousand, one hundred four".