114002106225 has 96 divisors (see below), whose sum is σ = 218775997440. Its totient is φ = 51306720000.

The previous prime is 114002106223. The next prime is 114002106287. The reversal of 114002106225 is 522601200411.

It is not a de Polignac number, because 114002106225 - 2¹ = 114002106223 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114002106195 and 114002106204.

It is not an unprimeable number, because it can be changed into a prime (114002106223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9485470 + ... + 9497480.

It is an arithmetic number, because the mean of its divisors is an integer number (2278916640).

Almost surely, 2^114002106225 is an apocalyptic number.

114002106225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

114002106225 is a deficient number, since it is larger than the sum of its proper divisors (104773891215).

114002106225 is a wasteful number, since it uses less digits than its factorization.

114002106225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12311 (or 12306 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 114002106225 its reverse (522601200411), we get a palindrome (636603306636).

The spelling of 114002106225 in words is "one hundred fourteen billion, two million, one hundred six thousand, two hundred twenty-five".