10114460 has 48 divisors (see below), whose sum is σ = 22915200. Its totient is φ = 3737664.

The previous prime is 10114453. The next prime is 10114469. The reversal of 10114460 is 6441101.

10114460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16031 + ... + 16649.

It is an arithmetic number, because the mean of its divisors is an integer number (477400).

Almost surely, 2^10114460 is an apocalyptic number.

10114460 is a gapful number since it is divisible by the number (10) 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 10114460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11457600).

10114460 is an abundant number, since it is smaller than the sum of its proper divisors (12800740).

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

10114460 is a wasteful number, since it uses less digits than its factorization.

10114460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 10114460 is about 3180.3238828773. The cubic root of 10114460 is about 216.2623412828.

Adding to 10114460 its reverse (6441101), we get a palindrome (16555561).

The spelling of 10114460 in words is "ten million, one hundred fourteen thousand, four hundred sixty".