14106016 has 48 divisors (see below), whose sum is σ = 28957824. Its totient is φ = 6759424.

The previous prime is 14106011. The next prime is 14106047. The reversal of 14106016 is 61060141.

It is a happy number.

14106016 is a nontrivial binomial coefficient, being equal to C(5312, 2).

It is a junction number, because it is equal to n+sod(n) for n = 14105984 and 14106002.

It is not an unprimeable number, because it can be changed into a prime (14106011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124776 + ... + 124888.

It is an arithmetic number, because the mean of its divisors is an integer number (603288).

Almost surely, 2^14106016 is an apocalyptic number.

14106016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14106016 is the 5311-st triangular number and also the 2656-th hexagonal number.

14106016 is the 1771-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14106016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14478912).

14106016 is an abundant number, since it is smaller than the sum of its proper divisors (14851808).

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

14106016 is a wasteful number, since it uses less digits than its factorization.

14106016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 14106016 is about 3755.7976516314. The cubic root of 14106016 is about 241.6210630292.

Adding to 14106016 its reverse (61060141), we get a palindrome (75166157).

It can be divided in two parts, 14 and 106016, that added together give a triangular number (106030 = T₄₆₀).

The spelling of 14106016 in words is "fourteen million, one hundred six thousand, sixteen".