14356420100 has 216 divisors, whose sum is σ = 36805394304. Its totient is φ = 4839296000.

The previous prime is 14356420093. The next prime is 14356420129. The reversal of 14356420100 is 102465341.

14356420100 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 2×14356420100² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14356420100.

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 71 ways as a sum of consecutive naturals, for example, 14604209 + ... + 14605191.

It is an arithmetic number, because the mean of its divisors is an integer number (170395344).

Almost surely, 2^14356420100 is an apocalyptic number.

14356420100 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 14356420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18402697152).

14356420100 is an abundant number, since it is smaller than the sum of its proper divisors (22448974204).

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

14356420100 is a wasteful number, since it uses less digits than its factorization.

14356420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107 (or 1089 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 14356420100 its reverse (102465341), we get a palindrome (14458885441).

The spelling of 14356420100 in words is "fourteen billion, three hundred fifty-six million, four hundred twenty thousand, one hundred".