14106180 has 144 divisors (see below), whose sum is σ = 45581760. Its totient is φ = 3252480.

The previous prime is 14106179. The next prime is 14106181. The reversal of 14106180 is 8160141.

It is an interprime number because it is at equal distance from previous prime (14106179) and next prime (14106181).

It is not an unprimeable number, because it can be changed into a prime (14106181) 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 47 ways as a sum of consecutive naturals, for example, 210507 + ... + 210573.

It is an arithmetic number, because the mean of its divisors is an integer number (316540).

Almost surely, 2^14106180 is an apocalyptic number.

14106180 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 14106180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22790880).

14106180 is an abundant number, since it is smaller than the sum of its proper divisors (31475580).

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

14106180 is a wasteful number, since it uses less digits than its factorization.

14106180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 14106180 is about 3755.8194844801. The cubic root of 14106180 is about 241.6219994075.

It can be divided in two parts, 141061 and 80, that added together give a palindrome (141141).

The spelling of 14106180 in words is "fourteen million, one hundred six thousand, one hundred eighty".