103110004004 has 144 divisors (see below), whose sum is σ = 224101382400. Its totient is φ = 41270777856.

The previous prime is 103110004003. The next prime is 103110004007. The reversal of 103110004004 is 400400011301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 103110004004.

It is not an unprimeable number, because it can be changed into a prime (103110004003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 143407157 + ... + 143407875.

It is an arithmetic number, because the mean of its divisors is an integer number (1556259600).

Almost surely, 2^103110004004 is an apocalyptic number.

103110004004 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 103110004004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112050691200).

103110004004 is an abundant number, since it is smaller than the sum of its proper divisors (120991378396).

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

103110004004 is a wasteful number, since it uses less digits than its factorization.

103110004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 103110004004 its reverse (400400011301), we get a palindrome (503510015305).

The spelling of 103110004004 in words is "one hundred three billion, one hundred ten million, four thousand, four".