105665501 has 2 divisors, whose sum is σ = 105665502. Its totient is φ = 105665500.

The previous prime is 105665471. The next prime is 105665503. The reversal of 105665501 is 105566501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91968100 + 13697401 = 9590^2 + 3701^2 .

It is a cyclic number.

It is not a de Polignac number, because 105665501 - 2¹⁸ = 105403357 is a prime.

It is a super-2 number, since 2×105665501² = 22330396203162002, which contains 22 as substring.

Together with 105665503, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

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, 52832750 + 52832751.

It is an arithmetic number, because the mean of its divisors is an integer number (52832751).

Almost surely, 2^105665501 is an apocalyptic number.

It is an amenable number.

105665501 is a deficient number, since it is larger than the sum of its proper divisors (1).

105665501 is an equidigital number, since it uses as much as digits as its factorization.

105665501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 105665501 is about 10279.3725975859. The cubic root of 105665501 is about 472.7640076247.

The spelling of 105665501 in words is "one hundred five million, six hundred sixty-five thousand, five hundred one".