114244442100 has 216 divisors, whose sum is σ = 379843610328. Its totient is φ = 28621209600.

The previous prime is 114244442089. The next prime is 114244442101. The reversal of 114244442100 is 1244442411.

It is a happy number.

114244442100 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 4 + 444 + 210 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1118501136 + 113125940964 = 33444^2 + 336342^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114244442101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8821630 + ... + 8834570.

It is an arithmetic number, because the mean of its divisors is an integer number (1758535233).

Almost surely, 2^114244442100 is an apocalyptic number.

114244442100 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 114244442100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189921805164).

114244442100 is an abundant number, since it is smaller than the sum of its proper divisors (265599168228).

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

114244442100 is a wasteful number, since it uses less digits than its factorization.

114244442100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13555 (or 13545 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 114244442100 its reverse (1244442411), we get a palindrome (115488884511).

The spelling of 114244442100 in words is "one hundred fourteen billion, two hundred forty-four million, four hundred forty-two thousand, one hundred".