114003106 has 48 divisors (see below), whose sum is σ = 207432576. Its totient is φ = 46816224.

The previous prime is 114003103. The next prime is 114003119. The reversal of 114003106 is 601300411.

114003106 = 64² + 65² + ... + 699².

It is a self number, because there is not a number n which added to its sum of digits gives 114003106.

It is not an unprimeable number, because it can be changed into a prime (114003103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243885 + ... + 244351.

It is an arithmetic number, because the mean of its divisors is an integer number (4321512).

Almost surely, 2^114003106 is an apocalyptic number.

114003106 is a deficient number, since it is larger than the sum of its proper divisors (93429470).

114003106 is a wasteful number, since it uses less digits than its factorization.

114003106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 114003106 is about 10677.2237028171. The cubic root of 114003106 is about 484.8851621687.

Adding to 114003106 its reverse (601300411), we get a palindrome (715303517).

The spelling of 114003106 in words is "one hundred fourteen million, three thousand, one hundred six".