114633104 has 40 divisors (see below), whose sum is σ = 238050240. Its totient is φ = 53336448.

The previous prime is 114633073. The next prime is 114633119. The reversal of 114633104 is 401336411.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 114633104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9407 + ... + 17825.

It is an arithmetic number, because the mean of its divisors is an integer number (5951256).

Almost surely, 2^114633104 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 114633104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119025120).

114633104 is an abundant number, since it is smaller than the sum of its proper divisors (123417136).

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

114633104 is a wasteful number, since it uses less digits than its factorization.

114633104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8487 (or 8481 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 114633104 is about 10706.6850145131. The cubic root of 114633104 is about 485.7767042538.

Adding to 114633104 its reverse (401336411), we get a palindrome (515969515).

The spelling of 114633104 in words is "one hundred fourteen million, six hundred thirty-three thousand, one hundred four".