105580372211 has 2 divisors, whose sum is σ = 105580372212. Its totient is φ = 105580372210.

The previous prime is 105580372169. The next prime is 105580372279. The reversal of 105580372211 is 112273085501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105580372211 - 2³⁰ = 104506630387 is a prime.

It is a super-2 number, since 2×105580372211² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is not a weakly prime, because it can be changed into another prime (105580342211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52790186105 + 52790186106.

It is an arithmetic number, because the mean of its divisors is an integer number (52790186106).

Almost surely, 2^105580372211 is an apocalyptic number.

105580372211 is a deficient number, since it is larger than the sum of its proper divisors (1).

105580372211 is an equidigital number, since it uses as much as digits as its factorization.

105580372211 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16800, while the sum is 35.

The spelling of 105580372211 in words is "one hundred five billion, five hundred eighty million, three hundred seventy-two thousand, two hundred eleven".