114251104 has 72 divisors (see below), whose sum is σ = 260419320. Its totient is φ = 49167360.

The previous prime is 114251087. The next prime is 114251107. The reversal of 114251104 is 401152411.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114251107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72792 + ... + 74344.

It is an arithmetic number, because the mean of its divisors is an integer number (3616935).

Almost surely, 2^114251104 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 114251104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130209660).

114251104 is an abundant number, since it is smaller than the sum of its proper divisors (146168216).

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

114251104 is a wasteful number, since it uses less digits than its factorization.

114251104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1585 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 114251104 is about 10688.8308060330. The cubic root of 114251104 is about 485.2365077408.

The spelling of 114251104 in words is "one hundred fourteen million, two hundred fifty-one thousand, one hundred four".