105442591 has 2 divisors, whose sum is σ = 105442592. Its totient is φ = 105442590.

The previous prime is 105442541. The next prime is 105442621. The reversal of 105442591 is 195244501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105442591 - 2¹⁵ = 105409823 is a prime.

It is a super-2 number, since 2×105442591² = 22236279993586562, 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 (105442531) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52721295 + 52721296.

It is an arithmetic number, because the mean of its divisors is an integer number (52721296).

Almost surely, 2^105442591 is an apocalyptic number.

105442591 is a deficient number, since it is larger than the sum of its proper divisors (1).

105442591 is an equidigital number, since it uses as much as digits as its factorization.

105442591 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 105442591 is about 10268.5242854073. The cubic root of 105442591 is about 472.4313288217.

The spelling of 105442591 in words is "one hundred five million, four hundred forty-two thousand, five hundred ninety-one".