105504589 has 2 divisors, whose sum is σ = 105504590. Its totient is φ = 105504588.

The previous prime is 105504583. The next prime is 105504599. The reversal of 105504589 is 985405501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89965225 + 15539364 = 9485^2 + 3942^2 .

It is a cyclic number.

It is not a de Polignac number, because 105504589 - 2²⁵ = 71950157 is a prime.

It is a super-2 number, since 2×105504589² = 22262436600117842, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105504583) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52752294 + 52752295.

It is an arithmetic number, because the mean of its divisors is an integer number (52752295).

Almost surely, 2^105504589 is an apocalyptic number.

It is an amenable number.

105504589 is a deficient number, since it is larger than the sum of its proper divisors (1).

105504589 is an equidigital number, since it uses as much as digits as its factorization.

105504589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36000, while the sum is 37.

The square root of 105504589 is about 10271.5426786827. The cubic root of 105504589 is about 472.5239038699.

The spelling of 105504589 in words is "one hundred five million, five hundred four thousand, five hundred eighty-nine".