105738586338 has 64 divisors (see below), whose sum is σ = 265736060928. Its totient is φ = 27248296320.

The previous prime is 105738586337. The next prime is 105738586367. The reversal of 105738586338 is 833685837501.

It is a super-2 number, since 2×105738586338² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105738586333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 842395 + ... + 959742.

It is an arithmetic number, because the mean of its divisors is an integer number (4152125952).

Almost surely, 2^105738586338 is an apocalyptic number.

105738586338 is an abundant number, since it is smaller than the sum of its proper divisors (159997474590).

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

105738586338 is a wasteful number, since it uses less digits than its factorization.

105738586338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802287.

The product of its (nonzero) digits is 14515200, while the sum is 57.

It can be divided in two parts, 105738 and 586338, that added together give a triangular number (692076 = T₁₁₇₆).

The spelling of 105738586338 in words is "one hundred five billion, seven hundred thirty-eight million, five hundred eighty-six thousand, three hundred thirty-eight".