110013103004 has 192 divisors, whose sum is σ = 246758400000. Its totient is φ = 41856756480.

The previous prime is 110013102973. The next prime is 110013103117. The reversal of 110013103004 is 400301310011.

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 110013103004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73390247 + ... + 73391745.

It is an arithmetic number, because the mean of its divisors is an integer number (1285200000).

Almost surely, 2^110013103004 is an apocalyptic number.

110013103004 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 110013103004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123379200000).

110013103004 is an abundant number, since it is smaller than the sum of its proper divisors (136745296996).

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

110013103004 is a wasteful number, since it uses less digits than its factorization.

110013103004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 110013103004 its reverse (400301310011), we get a palindrome (510314413015).

The spelling of 110013103004 in words is "one hundred ten billion, thirteen million, one hundred three thousand, four".