107300033 has 2 divisors, whose sum is σ = 107300034. Its totient is φ = 107300032.

The previous prime is 107300027. The next prime is 107300051. The reversal of 107300033 is 330003701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89718784 + 17581249 = 9472^2 + 4193^2 .

It is a cyclic number.

It is not a de Polignac number, because 107300033 - 2¹⁶ = 107234497 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 107299984 and 107300020.

It is not a weakly prime, because it can be changed into another prime (107300003) 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, 53650016 + 53650017.

It is an arithmetic number, because the mean of its divisors is an integer number (53650017).

Almost surely, 2^107300033 is an apocalyptic number.

It is an amenable number.

107300033 is a deficient number, since it is larger than the sum of its proper divisors (1).

107300033 is an equidigital number, since it uses as much as digits as its factorization.

107300033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 189, while the sum is 17.

The square root of 107300033 is about 10358.5729229465. The cubic root of 107300033 is about 475.1892623444.

Adding to 107300033 its reverse (330003701), we get a palindrome (437303734).

The spelling of 107300033 in words is "one hundred seven million, three hundred thousand, thirty-three".