2314104100 has 144 divisors (see below), whose sum is σ = 6305846400. Its totient is φ = 716083200.

The previous prime is 2314104059. The next prime is 2314104101. The reversal of 2314104100 is 14014132.

2314104100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2314104101) 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, 1146292 + ... + 1148308.

It is an arithmetic number, because the mean of its divisors is an integer number (43790600).

Almost surely, 2^2314104100 is an apocalyptic number.

2314104100 is a gapful number since it is divisible by the number (20) 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 2314104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152923200).

2314104100 is an abundant number, since it is smaller than the sum of its proper divisors (3991742300).

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

2314104100 is a wasteful number, since it uses less digits than its factorization.

2314104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2314104100 is about 48105.1359004421. The cubic root of 2314104100 is about 1322.6988133823.

Adding to 2314104100 its reverse (14014132), we get a palindrome (2328118232).

The spelling of 2314104100 in words is "two billion, three hundred fourteen million, one hundred four thousand, one hundred".