10014116 has 48 divisors (see below), whose sum is σ = 21073920. Its totient is φ = 4073760.

The previous prime is 10014113. The next prime is 10014163. The reversal of 10014116 is 61141001.

10014116 = T₁₆₈₈ + T₁₆₈₉ + ... + T₁₆₉₄.

It is a super-2 number, since 2×10014116² = 200565038522912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a self number, because there is not a number n which added to its sum of digits gives 10014116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10014113) 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 15 ways as a sum of consecutive naturals, for example, 71975 + ... + 72113.

It is an arithmetic number, because the mean of its divisors is an integer number (439040).

Almost surely, 2^10014116 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 10014116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10536960).

10014116 is an abundant number, since it is smaller than the sum of its proper divisors (11059804).

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

10014116 is a wasteful number, since it uses less digits than its factorization.

10014116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

The square root of 10014116 is about 3164.5088086463. The cubic root of 10014116 is about 215.5447946746.

Adding to 10014116 its reverse (61141001), we get a palindrome (71155117).

The spelling of 10014116 in words is "ten million, fourteen thousand, one hundred sixteen".