14114100 has 288 divisors, whose sum is σ = 55996416. Its totient is φ = 2649600.

The previous prime is 14114099. The next prime is 14114101. The reversal of 14114100 is 141141.

It is an interprime number because it is at equal distance from previous prime (14114099) and next prime (14114101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14114101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300277 + ... + 300323.

It is an arithmetic number, because the mean of its divisors is an integer number (194432).

Almost surely, 2^14114100 is an apocalyptic number.

14114100 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 14114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27998208).

14114100 is an abundant number, since it is smaller than the sum of its proper divisors (41882316).

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

14114100 is a wasteful number, since it uses less digits than its factorization.

14114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 14114100 is about 3756.8737002992. The cubic root of 14114100 is about 241.6672109910.

Adding to 14114100 its reverse (141141), we get a palindrome (14255241).

Multiplying 14114100 by its reverse (141141), we get a square (1992078188100 = 1411410²).

14114100 divided by its reverse (141141) gives a square (100 = 10²).

It can be divided in two parts, 141 and 14100, that multiplied together give a square (1988100 = 1410²).

The spelling of 14114100 in words is "fourteen million, one hundred fourteen thousand, one hundred".