14108838100 has 72 divisors (see below), whose sum is σ = 35317114560. Its totient is φ = 4792081920.

The previous prime is 14108838077. The next prime is 14108838109. The reversal of 14108838100 is 183880141.

14108838100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14108838100² (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 (14108838109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19285 + ... + 169084.

It is an arithmetic number, because the mean of its divisors is an integer number (490515480).

Almost surely, 2^14108838100 is an apocalyptic number.

14108838100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14108838100 is an abundant number, since it is smaller than the sum of its proper divisors (21208276460).

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

14108838100 is a wasteful number, since it uses less digits than its factorization.

14108838100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188497 (or 188490 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 34.

The spelling of 14108838100 in words is "fourteen billion, one hundred eight million, eight hundred thirty-eight thousand, one hundred".