105400591 has 2 divisors, whose sum is σ = 105400592. Its totient is φ = 105400590.

The previous prime is 105400577. The next prime is 105400601. The reversal of 105400591 is 195004501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105400591 - 2⁹ = 105400079 is a prime.

It is a super-2 number, since 2×105400591² = 22218569166298562, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105400501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52700295 + 52700296.

It is an arithmetic number, because the mean of its divisors is an integer number (52700296).

Almost surely, 2^105400591 is an apocalyptic number.

105400591 is a deficient number, since it is larger than the sum of its proper divisors (1).

105400591 is an equidigital number, since it uses as much as digits as its factorization.

105400591 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 105400591 is about 10266.4789972025. The cubic root of 105400591 is about 472.3685940491.

The spelling of 105400591 in words is "one hundred five million, four hundred thousand, five hundred ninety-one".