114835104 has 48 divisors (see below), whose sum is σ = 334938240. Its totient is φ = 38278080.

The previous prime is 114835103. The next prime is 114835141. The reversal of 114835104 is 401538411.

It is a happy number.

114835104 is a `hidden beast` number, since 1 + 148 + 3 + 510 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×114835104² = 26374202221381632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114835103) 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 7 ways as a sum of consecutive naturals, for example, 65592 + ... + 67319.

It is an arithmetic number, because the mean of its divisors is an integer number (6977880).

Almost surely, 2^114835104 is an apocalyptic number.

It is an amenable number.

114835104 is an abundant number, since it is smaller than the sum of its proper divisors (220103136).

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

114835104 is a wasteful number, since it uses less digits than its factorization.

114835104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132930 (or 132916 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 114835104 is about 10716.1142211158. The cubic root of 114835104 is about 486.0618729334.

The spelling of 114835104 in words is "one hundred fourteen million, eight hundred thirty-five thousand, one hundred four".