10114384 has 80 divisors (see below), whose sum is σ = 24304000. Its totient is φ = 4064256.

The previous prime is 10114343. The next prime is 10114393. The reversal of 10114384 is 48341101.

10114384 = T₅₆₇ + T₅₆₈ + ... + T₆₂₃.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104224 + ... + 104320.

It is an arithmetic number, because the mean of its divisors is an integer number (303800).

Almost surely, 2^10114384 is an apocalyptic number.

10114384 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 10114384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12152000).

10114384 is an abundant number, since it is smaller than the sum of its proper divisors (14189616).

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

10114384 is an equidigital number, since it uses as much as digits as its factorization.

10114384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 10114384 is about 3180.3119343863. The cubic root of 10114384 is about 216.2617996168.

Adding to 10114384 its reverse (48341101), we get a palindrome (58455485).

The spelling of 10114384 in words is "ten million, one hundred fourteen thousand, three hundred eighty-four".