105842591 has 2 divisors, whose sum is σ = 105842592. Its totient is φ = 105842590.

The previous prime is 105842567. The next prime is 105842599. The reversal of 105842591 is 195248501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105842591 is a prime.

It is a super-2 number, since 2×105842591² = 22405308139186562, 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 (105842599) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52921295 + 52921296.

It is an arithmetic number, because the mean of its divisors is an integer number (52921296).

Almost surely, 2^105842591 is an apocalyptic number.

105842591 is a deficient number, since it is larger than the sum of its proper divisors (1).

105842591 is an equidigital number, since it uses as much as digits as its factorization.

105842591 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 14400, while the sum is 35.

The square root of 105842591 is about 10287.9828440759. The cubic root of 105842591 is about 473.0279696864.

The spelling of 105842591 in words is "one hundred five million, eight hundred forty-two thousand, five hundred ninety-one".