2014114102 has 64 divisors (see below), whose sum is σ = 4066288128. Its totient is φ = 722592000.

The previous prime is 2014114087. The next prime is 2014114103.

It is a happy number.

2014114102 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2014114103) 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, 1042077 + ... + 1044007.

It is an arithmetic number, because the mean of its divisors is an integer number (63535752).

Almost surely, 2^2014114102 is an apocalyptic number.

2014114102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2014114102 is an abundant number, since it is smaller than the sum of its proper divisors (2052174026).

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

2014114102 is a wasteful number, since it uses less digits than its factorization.

2014114102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2485.

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 2014114102 is about 44878.8825841286. The cubic root of 2014114102 is about 1262.8778809636.

It can be divided in two parts, 20141 and 14102, that added together give a palindrome (34243).

The spelling of 2014114102 in words is "two billion, fourteen million, one hundred fourteen thousand, one hundred two".