114065104 has 40 divisors (see below), whose sum is σ = 235786248. Its totient is φ = 53268480.

The previous prime is 114065101. The next prime is 114065153. The reversal of 114065104 is 401560411.

It can be written as a sum of positive squares in 4 ways, for example, as 66455104 + 47610000 = 8152^2 + 6900^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114065101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35734 + ... + 38794.

Almost surely, 2^114065104 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 114065104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117893124).

114065104 is an abundant number, since it is smaller than the sum of its proper divisors (121721144).

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

114065104 is a wasteful number, since it uses less digits than its factorization.

114065104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3223 (or 3217 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 114065104 is about 10680.1265910101. The cubic root of 114065104 is about 484.9730441673.

The spelling of 114065104 in words is "one hundred fourteen million, sixty-five thousand, one hundred four".