14142100 has 72 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 4773120.

The previous prime is 14142091. The next prime is 14142109. The reversal of 14142100 is 124141.

It is an interprime number because it is at equal distance from previous prime (14142091) and next prime (14142109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14142109) 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 23 ways as a sum of consecutive naturals, for example, 62187 + ... + 62413.

It is an arithmetic number, because the mean of its divisors is an integer number (494760).

Almost surely, 2^14142100 is an apocalyptic number.

14142100 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 14142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

14142100 is an abundant number, since it is smaller than the sum of its proper divisors (21480620).

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

14142100 is a wasteful number, since it uses less digits than its factorization.

14142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 14142100 is about 3760.5983566449. The cubic root of 14142100 is about 241.8269144596.

Adding to 14142100 its reverse (124141), we get a palindrome (14266241).

The spelling of 14142100 in words is "fourteen million, one hundred forty-two thousand, one hundred".