105800346575738 has 16 divisors (see below), whose sum is σ = 160875045222696. Its totient is φ = 52175336417280.

The previous prime is 105800346575713. The next prime is 105800346575743. The reversal of 105800346575738 is 837575643008501.

It can be written as a sum of positive squares in 4 ways, for example, as 92629595078329 + 13170751497409 = 9624427^2 + 3629153^2 .

It is a super-2 number, since 2×105800346575738² (a number of 29 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 48960968 + ... + 51076188.

Almost surely, 2^{105800346575738} is an apocalyptic number.

105800346575738 is a deficient number, since it is larger than the sum of its proper divisors (55074698646958).

105800346575738 is a wasteful number, since it uses less digits than its factorization.

105800346575738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2457889.

The product of its (nonzero) digits is 84672000, while the sum is 62.

The spelling of 105800346575738 in words is "one hundred five trillion, eight hundred billion, three hundred forty-six million, five hundred seventy-five thousand, seven hundred thirty-eight".