105138531514314 has 48 divisors (see below), whose sum is σ = 253894905838080. Its totient is φ = 31248603792000.

The previous prime is 105138531514309. The next prime is 105138531514343. The reversal of 105138531514314 is 413415135831501.

It is a happy number.

105138531514314 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 3 + 8 + 5 + 315 + 14 + 314 = 666.

It is a super-2 number, since 2×105138531514314² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105138531514314.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9041835562 + ... + 9041847189.

It is an arithmetic number, because the mean of its divisors is an integer number (5289477204960).

Almost surely, 2^{105138531514314} is an apocalyptic number.

105138531514314 is an abundant number, since it is smaller than the sum of its proper divisors (148756374323766).

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

105138531514314 is a wasteful number, since it uses less digits than its factorization.

105138531514314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18083682795 (or 18083682792 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 105138531514314 in words is "one hundred five trillion, one hundred thirty-eight billion, five hundred thirty-one million, five hundred fourteen thousand, three hundred fourteen".