14235210100 has 72 divisors (see below), whose sum is σ = 33243919128. Its totient is φ = 5271244800.

The previous prime is 14235210079. The next prime is 14235210103. The reversal of 14235210100 is 101253241.

It can be written as a sum of positive squares in 12 ways, for example, as 2288282896 + 11946927204 = 47836^2 + 109302^2 .

It is a super-2 number, since 2×14235210100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14235210103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35064 + ... + 172336.

It is an arithmetic number, because the mean of its divisors is an integer number (461721099).

Almost surely, 2^14235210100 is an apocalyptic number.

14235210100 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 14235210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16621959564).

14235210100 is an abundant number, since it is smaller than the sum of its proper divisors (19008709028).

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

14235210100 is a wasteful number, since it uses less digits than its factorization.

14235210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137365 (or 137358 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 14235210100 its reverse (101253241), we get a palindrome (14336463341).

The spelling of 14235210100 in words is "fourteen billion, two hundred thirty-five million, two hundred ten thousand, one hundred".