14005013100 has 216 divisors, whose sum is σ = 46461870000. Its totient is φ = 3244400640.

The previous prime is 14005013093. The next prime is 14005013129. The reversal of 14005013100 is 131050041.

It is a super-2 number, since 2×14005013100² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 14005013100.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 853776 + ... + 870024.

It is an arithmetic number, because the mean of its divisors is an integer number (215101250).

Almost surely, 2^14005013100 is an apocalyptic number.

14005013100 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 14005013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23230935000).

14005013100 is an abundant number, since it is smaller than the sum of its proper divisors (32456856900).

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

14005013100 is a wasteful number, since it uses less digits than its factorization.

14005013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16309 (or 16289 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 14005013100 its reverse (131050041), we get a palindrome (14136063141).

The spelling of 14005013100 in words is "fourteen billion, five million, thirteen thousand, one hundred".