14422410100 has 108 divisors (see below), whose sum is σ = 37294761420. Its totient is φ = 4824153600.

The previous prime is 14422410089. The next prime is 14422410137. The reversal of 14422410100 is 101422441.

14422410100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3014888464 + 11407521636 = 54908^2 + 106806^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 165006 + ... + 236794.

It is an arithmetic number, because the mean of its divisors is an integer number (345321865).

Almost surely, 2^14422410100 is an apocalyptic number.

14422410100 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 14422410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18647380710).

14422410100 is an abundant number, since it is smaller than the sum of its proper divisors (22872351320).

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

14422410100 is a wasteful number, since it uses less digits than its factorization.

14422410100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71858 (or 71844 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 14422410100 its reverse (101422441), we get a palindrome (14523832541).

The spelling of 14422410100 in words is "fourteen billion, four hundred twenty-two million, four hundred ten thousand, one hundred".