105789638830 has 16 divisors (see below), whose sum is σ = 190538417520. Its totient is φ = 42289840512.

The previous prime is 105789638819. The next prime is 105789638831. The reversal of 105789638830 is 38836987501.

It is a super-2 number, since 2×105789638830² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105789638831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3234795 + ... + 3267334.

It is an arithmetic number, because the mean of its divisors is an integer number (11908651095).

Almost surely, 2^105789638830 is an apocalyptic number.

105789638830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105789638830 is a deficient number, since it is larger than the sum of its proper divisors (84748778690).

105789638830 is a wasteful number, since it uses less digits than its factorization.

105789638830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6503763.

The product of its (nonzero) digits is 8709120, while the sum is 58.

The spelling of 105789638830 in words is "one hundred five billion, seven hundred eighty-nine million, six hundred thirty-eight thousand, eight hundred thirty".