105785556011 has 8 divisors (see below), whose sum is σ = 107786540160. Its totient is φ = 103784758272.

The previous prime is 105785556007. The next prime is 105785556013. The reversal of 105785556011 is 110655587501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105785556011 - 2² = 105785556007 is a prime.

It is a super-2 number, since 2×105785556011² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105785556013) by changing a digit.

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, 1740806 + ... + 1800548.

It is an arithmetic number, because the mean of its divisors is an integer number (13473317520).

Almost surely, 2^105785556011 is an apocalyptic number.

105785556011 is a deficient number, since it is larger than the sum of its proper divisors (2000984149).

105785556011 is an equidigital number, since it uses as much as digits as its factorization.

105785556011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93205.

The product of its (nonzero) digits is 210000, while the sum is 44.

The spelling of 105785556011 in words is "one hundred five billion, seven hundred eighty-five million, five hundred fifty-six thousand, eleven".