114105024 has 336 divisors, whose sum is σ = 399409920. Its totient is φ = 31933440.

The previous prime is 114105011. The next prime is 114105067. The reversal of 114105024 is 420501411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 114104988 and 114105006.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3934642 + ... + 3934670.

It is an arithmetic number, because the mean of its divisors is an integer number (1188720).

Almost surely, 2^114105024 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 114105024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199704960).

114105024 is an abundant number, since it is smaller than the sum of its proper divisors (285304896).

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

114105024 is a wasteful number, since it uses less digits than its factorization.

114105024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 114105024 is about 10681.9953192276. The cubic root of 114105024 is about 485.0296138080.

Adding to 114105024 its reverse (420501411), we get a palindrome (534606435).

The spelling of 114105024 in words is "one hundred fourteen million, one hundred five thousand, twenty-four".