107032033 has 2 divisors, whose sum is σ = 107032034. Its totient is φ = 107032032.

The previous prime is 107032027. The next prime is 107032039. The reversal of 107032033 is 330230701.

It is a balanced prime because it is at equal distance from previous prime (107032027) and next prime (107032039).

It can be written as a sum of positive squares in only one way, i.e., 75481344 + 31550689 = 8688^2 + 5617^2 .

It is a cyclic number.

It is not a de Polignac number, because 107032033 - 2⁵ = 107032001 is a prime.

It is a super-2 number, since 2×107032033² = 22911712176226178, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107032033.

It is not a weakly prime, because it can be changed into another prime (107032039) 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, 53516016 + 53516017.

It is an arithmetic number, because the mean of its divisors is an integer number (53516017).

Almost surely, 2^107032033 is an apocalyptic number.

It is an amenable number.

107032033 is a deficient number, since it is larger than the sum of its proper divisors (1).

107032033 is an equidigital number, since it uses as much as digits as its factorization.

107032033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 19.

The square root of 107032033 is about 10345.6286904180. The cubic root of 107032033 is about 474.7933106292.

Adding to 107032033 its reverse (330230701), we get a palindrome (437262734).

The spelling of 107032033 in words is "one hundred seven million, thirty-two thousand, thirty-three".