114004104 has 128 divisors (see below), whose sum is σ = 320112000. Its totient is φ = 33675264.

The previous prime is 114004103. The next prime is 114004109. The reversal of 114004104 is 401400411.

It is not an unprimeable number, because it can be changed into a prime (114004103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 489172 + ... + 489404.

It is an arithmetic number, because the mean of its divisors is an integer number (2500875).

Almost surely, 2^114004104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114004104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160056000).

114004104 is an abundant number, since it is smaller than the sum of its proper divisors (206107896).

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

114004104 is a wasteful number, since it uses less digits than its factorization.

114004104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 114004104 is about 10677.2704377102. The cubic root of 114004104 is about 484.8865770833.

Adding to 114004104 its reverse (401400411), we get a palindrome (515404515).

It can be divided in two parts, 11400 and 4104, that multiplied together give a square (46785600 = 6840²).

The spelling of 114004104 in words is "one hundred fourteen million, four thousand, one hundred four".