105665587 has 2 divisors, whose sum is σ = 105665588. Its totient is φ = 105665586.

The previous prime is 105665551. The next prime is 105665597. The reversal of 105665587 is 785566501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105665587 - 2¹¹ = 105663539 is a prime.

It is a super-2 number, since 2×105665587² = 22330432552109138, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105665597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52832793 + 52832794.

It is an arithmetic number, because the mean of its divisors is an integer number (52832794).

Almost surely, 2^105665587 is an apocalyptic number.

105665587 is a deficient number, since it is larger than the sum of its proper divisors (1).

105665587 is an equidigital number, since it uses as much as digits as its factorization.

105665587 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 252000, while the sum is 43.

The square root of 105665587 is about 10279.3767807197. The cubic root of 105665587 is about 472.7641358839.

The spelling of 105665587 in words is "one hundred five million, six hundred sixty-five thousand, five hundred eighty-seven".