105879329838 has 24 divisors (see below), whose sum is σ = 229937494176. Its totient is φ = 35211220800.

The previous prime is 105879329827. The next prime is 105879329863. The reversal of 105879329838 is 838923978501.

105879329838 is a `hidden beast` number, since 10 + 587 + 9 + 3 + 2 + 9 + 8 + 38 = 666.

It is a super-2 number, since 2×105879329838² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6816123 + ... + 6831638.

It is an arithmetic number, because the mean of its divisors is an integer number (9580728924).

Almost surely, 2^105879329838 is an apocalyptic number.

105879329838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

105879329838 is an abundant number, since it is smaller than the sum of its proper divisors (124058164338).

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

105879329838 is a wasteful number, since it uses less digits than its factorization.

105879329838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13648200 (or 13648197 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 105879329838 in words is "one hundred five billion, eight hundred seventy-nine million, three hundred twenty-nine thousand, eight hundred thirty-eight".