114344204100 has 144 divisors (see below), whose sum is σ = 378701761536. Its totient is φ = 26094096000.

The previous prime is 114344204071. The next prime is 114344204119. The reversal of 114344204100 is 1402443411.

It is a super-2 number, since 2×114344204100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1281955 + ... + 1368245.

It is an arithmetic number, because the mean of its divisors is an integer number (2629873344).

Almost surely, 2^114344204100 is an apocalyptic number.

114344204100 is a gapful number since it is divisible by the number (10) 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 114344204100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189350880768).

114344204100 is an abundant number, since it is smaller than the sum of its proper divisors (264357557436).

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

114344204100 is a wasteful number, since it uses less digits than its factorization.

114344204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86946 (or 86939 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 114344204100 its reverse (1402443411), we get a palindrome (115746647511).

The spelling of 114344204100 in words is "one hundred fourteen billion, three hundred forty-four million, two hundred four thousand, one hundred".