114351104 has 132 divisors (see below), whose sum is σ = 277229304. Its totient is φ = 46964736.

The previous prime is 114351077. The next prime is 114351113. The reversal of 114351104 is 401153411.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2157542 + ... + 2157594.

It is an arithmetic number, because the mean of its divisors is an integer number (2100222).

Almost surely, 2^114351104 is an apocalyptic number.

114351104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114351104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138614652).

114351104 is an abundant number, since it is smaller than the sum of its proper divisors (162878200).

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

114351104 is an equidigital number, since it uses as much as digits as its factorization.

114351104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 114351104 is about 10693.5075630029. The cubic root of 114351104 is about 485.3780366450.

The spelling of 114351104 in words is "one hundred fourteen million, three hundred fifty-one thousand, one hundred four".