10114480 has 60 divisors (see below), whose sum is σ = 24685920. Its totient is φ = 3853696.

The previous prime is 10114477. The next prime is 10114483. The reversal of 10114480 is 8441101.

It is an interprime number because it is at equal distance from previous prime (10114477) and next prime (10114483).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10114483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42201 + ... + 42439.

It is an arithmetic number, because the mean of its divisors is an integer number (411432).

Almost surely, 2^10114480 is an apocalyptic number.

10114480 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 10114480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12342960).

10114480 is an abundant number, since it is smaller than the sum of its proper divisors (14571440).

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

10114480 is a wasteful number, since it uses less digits than its factorization.

10114480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 10114480 is about 3180.3270272096. The cubic root of 10114480 is about 216.2624838261.

Adding to 10114480 its reverse (8441101), we get a palindrome (18555581).

The spelling of 10114480 in words is "ten million, one hundred fourteen thousand, four hundred eighty".