14106427902105 has 512 divisors, whose sum is σ = 30974076518400. Its totient is φ = 5306242867200.

The previous prime is 14106427902089. The next prime is 14106427902109. The reversal of 14106427902105 is 50120972460141.

14106427902105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14106427902105 - 2⁴ = 14106427902089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14106427902109) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 19619509936 + ... + 19619510654.

It is an arithmetic number, because the mean of its divisors is an integer number (60496243200).

Almost surely, 2^{14106427902105} is an apocalyptic number.

14106427902105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

14106427902105 is an abundant number, since it is smaller than the sum of its proper divisors (16867648616295).

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

14106427902105 is a wasteful number, since it uses less digits than its factorization.

14106427902105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1205.

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 14106427902105 in words is "fourteen trillion, one hundred six billion, four hundred twenty-seven million, nine hundred two thousand, one hundred five".