14312100 has 72 divisors (see below), whose sum is σ = 45184608. Its totient is φ = 3468800.

The previous prime is 14312099. The next prime is 14312101. The reversal of 14312100 is 121341.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14312099) and next prime (14312101).

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

It is not an unprimeable number, because it can be changed into a prime (14312101) 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 23 ways as a sum of consecutive naturals, for example, 1132 + ... + 5468.

It is an arithmetic number, because the mean of its divisors is an integer number (627564).

Almost surely, 2^14312100 is an apocalyptic number.

14312100 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 14312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22592304).

14312100 is an abundant number, since it is smaller than the sum of its proper divisors (30872508).

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

14312100 is a wasteful number, since it uses less digits than its factorization.

14312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 14312100 is about 3783.1336217480. The cubic root of 14312100 is about 242.7920454952.

Adding to 14312100 its reverse (121341), we get a palindrome (14433441).

The spelling of 14312100 in words is "fourteen million, three hundred twelve thousand, one hundred".