105838171070140 has 24 divisors (see below), whose sum is σ = 222528265626240. Its totient is φ = 42284200546368.

The previous prime is 105838171070113. The next prime is 105838171070141. The reversal of 105838171070140 is 41070171838501.

It is a happy number.

It is a super-2 number, since 2×105838171070140² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105838171070141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3191725612 + ... + 3191758771.

It is an arithmetic number, because the mean of its divisors is an integer number (9272011067760).

Almost surely, 2^{105838171070140} is an apocalyptic number.

105838171070140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105838171070140 is an abundant number, since it is smaller than the sum of its proper divisors (116690094556100).

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

105838171070140 is a wasteful number, since it uses less digits than its factorization.

105838171070140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6383485221 (or 6383485219 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 46.

The spelling of 105838171070140 in words is "one hundred five trillion, eight hundred thirty-eight billion, one hundred seventy-one million, seventy thousand, one hundred forty".