105500033 has 2 divisors, whose sum is σ = 105500034. Its totient is φ = 105500032.

The previous prime is 105500023. The next prime is 105500039. The reversal of 105500033 is 330005501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55472704 + 50027329 = 7448^2 + 7073^2 .

It is a cyclic number.

It is not a de Polignac number, because 105500033 - 2²⁴ = 88722817 is a prime.

It is a super-2 number, since 2×105500033² = 22260513926002178, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105499984 and 105500020.

It is not a weakly prime, because it can be changed into another prime (105500039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52750016 + 52750017.

It is an arithmetic number, because the mean of its divisors is an integer number (52750017).

Almost surely, 2^105500033 is an apocalyptic number.

It is an amenable number.

105500033 is a deficient number, since it is larger than the sum of its proper divisors (1).

105500033 is an equidigital number, since it uses as much as digits as its factorization.

105500033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 105500033 is about 10271.3208985018. The cubic root of 105500033 is about 472.5171021123.

Adding to 105500033 its reverse (330005501), we get a palindrome (435505534).

The spelling of 105500033 in words is "one hundred five million, five hundred thousand, thirty-three".