105202033 has 2 divisors, whose sum is σ = 105202034. Its totient is φ = 105202032.

The previous prime is 105202007. The next prime is 105202051. The reversal of 105202033 is 330202501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69105969 + 36096064 = 8313^2 + 6008^2 .

It is a cyclic number.

It is not a de Polignac number, because 105202033 - 2²⁵ = 71647601 is a prime.

It is a super-2 number, since 2×105202033² = 22134935494666178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105201998 and 105202016.

It is not a weakly prime, because it can be changed into another prime (105202093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52601016 + 52601017.

It is an arithmetic number, because the mean of its divisors is an integer number (52601017).

Almost surely, 2^105202033 is an apocalyptic number.

It is an amenable number.

105202033 is a deficient number, since it is larger than the sum of its proper divisors (1).

105202033 is an equidigital number, since it uses as much as digits as its factorization.

105202033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 105202033 is about 10256.8042293884. The cubic root of 105202033 is about 472.0717850816.

Adding to 105202033 its reverse (330202501), we get a palindrome (435404534).

The spelling of 105202033 in words is "one hundred five million, two hundred two thousand, thirty-three".