105008587 has 2 divisors, whose sum is σ = 105008588. Its totient is φ = 105008586.

The previous prime is 105008569. The next prime is 105008591. The reversal of 105008587 is 785800501.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105008587 is a prime.

It is a super-2 number, since 2×105008587² = 22053606687473138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105008557) 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, 52504293 + 52504294.

It is an arithmetic number, because the mean of its divisors is an integer number (52504294).

Almost surely, 2^105008587 is an apocalyptic number.

105008587 is a deficient number, since it is larger than the sum of its proper divisors (1).

105008587 is an equidigital number, since it uses as much as digits as its factorization.

105008587 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11200, while the sum is 34.

The square root of 105008587 is about 10247.3697600897. The cubic root of 105008587 is about 471.7822582646.

The spelling of 105008587 in words is "one hundred five million, eight thousand, five hundred eighty-seven".