105689587 has 2 divisors, whose sum is σ = 105689588. Its totient is φ = 105689586.

The previous prime is 105689569. The next prime is 105689593. The reversal of 105689587 is 785986501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105689587 - 2¹¹ = 105687539 is a prime.

It is a super-2 number, since 2×105689587² = 22340577600461138, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105689587.

It is not a weakly prime, because it can be changed into another prime (105689537) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52844793 + 52844794.

It is an arithmetic number, because the mean of its divisors is an integer number (52844794).

Almost surely, 2^105689587 is an apocalyptic number.

105689587 is a deficient number, since it is larger than the sum of its proper divisors (1).

105689587 is an equidigital number, since it uses as much as digits as its factorization.

105689587 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 49.

The square root of 105689587 is about 10280.5441003869. The cubic root of 105689587 is about 472.7999264083.

It can be divided in two parts, 105689 and 587, that added together give a square (106276 = 326²).

The spelling of 105689587 in words is "one hundred five million, six hundred eighty-nine thousand, five hundred eighty-seven".