105665513 has 2 divisors, whose sum is σ = 105665514. Its totient is φ = 105665512.

The previous prime is 105665503. The next prime is 105665533. The reversal of 105665513 is 315566501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88134544 + 17530969 = 9388^2 + 4187^2 .

It is a cyclic number.

It is not a de Polignac number, because 105665513 - 2⁶ = 105665449 is a prime.

It is a super-2 number, since 2×105665513² = 22330401275106338, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105665513.

It is not a weakly prime, because it can be changed into another prime (105665503) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52832756 + 52832757.

It is an arithmetic number, because the mean of its divisors is an integer number (52832757).

Almost surely, 2^105665513 is an apocalyptic number.

It is an amenable number.

105665513 is a deficient number, since it is larger than the sum of its proper divisors (1).

105665513 is an equidigital number, since it uses as much as digits as its factorization.

105665513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13500, while the sum is 32.

The square root of 105665513 is about 10279.3731812791. The cubic root of 105665513 is about 472.7640255214.

The spelling of 105665513 in words is "one hundred five million, six hundred sixty-five thousand, five hundred thirteen".