105997 has 2 divisors, whose sum is σ = 105998. Its totient is φ = 105996.

The previous prime is 105983. The next prime is 106013. The reversal of 105997 is 799501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84681 + 21316 = 291^2 + 146^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105997 is a prime.

It is a super-2 number, since 2×105997² = 22470728018, which contains 22 as substring.

105997 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52998 + 52999.

It is an arithmetic number, because the mean of its divisors is an integer number (52999).

2¹⁰⁵⁹⁹⁷ is an apocalyptic number.

It is an amenable number.

105997 is a deficient number, since it is larger than the sum of its proper divisors (1).

105997 is an equidigital number, since it uses as much as digits as its factorization.

105997 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2835, while the sum is 31.

The square root of 105997 is about 325.5718046760. The cubic root of 105997 is about 47.3257884335.

It can be divided in two parts, 1059 and 97, that added together give a square (1156 = 34²).

The spelling of 105997 in words is "one hundred five thousand, nine hundred ninety-seven".