105792191 has 2 divisors, whose sum is σ = 105792192. Its totient is φ = 105792190.

The previous prime is 105792161. The next prime is 105792217. The reversal of 105792191 is 191297501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105792191 is a prime.

It is a super-2 number, since 2×105792191² = 22383975353160962, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105792101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52896095 + 52896096.

It is an arithmetic number, because the mean of its divisors is an integer number (52896096).

Almost surely, 2^105792191 is an apocalyptic number.

105792191 is a deficient number, since it is larger than the sum of its proper divisors (1).

105792191 is an equidigital number, since it uses as much as digits as its factorization.

105792191 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5670, while the sum is 35.

The square root of 105792191 is about 10285.5330926501. The cubic root of 105792191 is about 472.9528757991.

The spelling of 105792191 in words is "one hundred five million, seven hundred ninety-two thousand, one hundred ninety-one".