105654589 has 2 divisors, whose sum is σ = 105654590. Its totient is φ = 105654588.

The previous prime is 105654583. The next prime is 105654607. The reversal of 105654589 is 985456501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62647225 + 43007364 = 7915^2 + 6558^2 .

It is a cyclic number.

It is not a de Polignac number, because 105654589 - 2⁵ = 105654557 is a prime.

It is a super-2 number, since 2×105654589² = 22325784353517842, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105654583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52827294 + 52827295.

It is an arithmetic number, because the mean of its divisors is an integer number (52827295).

Almost surely, 2^105654589 is an apocalyptic number.

It is an amenable number.

105654589 is a deficient number, since it is larger than the sum of its proper divisors (1).

105654589 is an equidigital number, since it uses as much as digits as its factorization.

105654589 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216000, while the sum is 43.

The square root of 105654589 is about 10278.8418121888. The cubic root of 105654589 is about 472.7477330653.

The spelling of 105654589 in words is "one hundred five million, six hundred fifty-four thousand, five hundred eighty-nine".