10114103104 has 112 divisors (see below), whose sum is σ = 24977750400. Its totient is φ = 3964778496.

The previous prime is 10114103033. The next prime is 10114103113. The reversal of 10114103104 is 40130141101.

10114103104 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 (112).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226362 + ... + 267334.

Almost surely, 2^10114103104 is an apocalyptic number.

10114103104 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 10114103104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12488875200).

10114103104 is an abundant number, since it is smaller than the sum of its proper divisors (14863647296).

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

10114103104 is a wasteful number, since it uses less digits than its factorization.

10114103104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41040 (or 41030 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10114103104 its reverse (40130141101), we get a palindrome (50244244205).

The spelling of 10114103104 in words is "ten billion, one hundred fourteen million, one hundred three thousand, one hundred four".