105997033 has 2 divisors, whose sum is σ = 105997034. Its totient is φ = 105997032.

The previous prime is 105997009. The next prime is 105997061. The reversal of 105997033 is 330799501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 80514729 + 25482304 = 8973^2 + 5048^2 .

It is a cyclic number.

It is not a de Polignac number, because 105997033 - 2²¹ = 103899881 is a prime.

It is a super-2 number, since 2×105997033² = 22470742009606178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105996983 and 105997001.

It is not a weakly prime, because it can be changed into another prime (105991033) 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, 52998516 + 52998517.

It is an arithmetic number, because the mean of its divisors is an integer number (52998517).

Almost surely, 2^105997033 is an apocalyptic number.

It is an amenable number.

105997033 is a deficient number, since it is larger than the sum of its proper divisors (1).

105997033 is an equidigital number, since it uses as much as digits as its factorization.

105997033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25515, while the sum is 37.

The square root of 105997033 is about 10295.4860497210. The cubic root of 105997033 is about 473.2579334481.

The spelling of 105997033 in words is "one hundred five million, nine hundred ninety-seven thousand, thirty-three".