114144304100 has 144 divisors (see below), whose sum is σ = 258702983616. Its totient is φ = 43678656000.

The previous prime is 114144304033. The next prime is 114144304129. The reversal of 114144304100 is 1403441411.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72656315 + ... + 72657885.

Almost surely, 2^114144304100 is an apocalyptic number.

114144304100 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 114144304100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129351491808).

114144304100 is an abundant number, since it is smaller than the sum of its proper divisors (144558679516).

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

114144304100 is a wasteful number, since it uses less digits than its factorization.

114144304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1959 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 114144304100 its reverse (1403441411), we get a palindrome (115547745511).

The spelling of 114144304100 in words is "one hundred fourteen billion, one hundred forty-four million, three hundred four thousand, one hundred".