105165997 has 2 divisors, whose sum is σ = 105165998. Its totient is φ = 105165996.

The previous prime is 105165971. The next prime is 105166001. The reversal of 105165997 is 799561501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102697956 + 2468041 = 10134^2 + 1571^2 .

It is a cyclic number.

It is not a de Polignac number, because 105165997 - 2⁷ = 105165869 is a prime.

It is a super-2 number, since 2×105165997² = 22119773850008018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105165967) 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, 52582998 + 52582999.

It is an arithmetic number, because the mean of its divisors is an integer number (52582999).

Almost surely, 2^105165997 is an apocalyptic number.

It is an amenable number.

105165997 is a deficient number, since it is larger than the sum of its proper divisors (1).

105165997 is an equidigital number, since it uses as much as digits as its factorization.

105165997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 85050, while the sum is 43.

The square root of 105165997 is about 10255.0473914068. The cubic root of 105165997 is about 472.0178776265.

The spelling of 105165997 in words is "one hundred five million, one hundred sixty-five thousand, nine hundred ninety-seven".