105810997 has 2 divisors, whose sum is σ = 105810998. Its totient is φ = 105810996.

The previous prime is 105810983. The next prime is 105811001. The reversal of 105810997 is 799018501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87441201 + 18369796 = 9351^2 + 4286^2 .

It is a cyclic number.

It is not a de Polignac number, because 105810997 - 2²³ = 97422389 is a prime.

It is a super-2 number, since 2×105810997² = 22391934172268018, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105810697) 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, 52905498 + 52905499.

It is an arithmetic number, because the mean of its divisors is an integer number (52905499).

Almost surely, 2^105810997 is an apocalyptic number.

It is an amenable number.

105810997 is a deficient number, since it is larger than the sum of its proper divisors (1).

105810997 is an equidigital number, since it uses as much as digits as its factorization.

105810997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 40.

The square root of 105810997 is about 10286.4472486860. The cubic root of 105810997 is about 472.9808987395.

The spelling of 105810997 in words is "one hundred five million, eight hundred ten thousand, nine hundred ninety-seven".