14310412100 has 72 divisors (see below), whose sum is σ = 31538481408. Its totient is φ = 5635033600.

The previous prime is 14310412073. The next prime is 14310412111. The reversal of 14310412100 is 121401341.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6935669 + ... + 6937731.

It is an arithmetic number, because the mean of its divisors is an integer number (438034464).

Almost surely, 2^14310412100 is an apocalyptic number.

14310412100 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 14310412100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15769240704).

14310412100 is an abundant number, since it is smaller than the sum of its proper divisors (17228069308).

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

14310412100 is a wasteful number, since it uses less digits than its factorization.

14310412100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3125 (or 3118 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 14310412100 its reverse (121401341), we get a palindrome (14431813441).

The spelling of 14310412100 in words is "fourteen billion, three hundred ten million, four hundred twelve thousand, one hundred".