107033 has 2 divisors, whose sum is σ = 107034. Its totient is φ = 107032.

The previous prime is 107021. The next prime is 107053. The reversal of 107033 is 330701.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104329 + 2704 = 323^2 + 52^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-107033 is a prime.

It is a super-2 number, since 2×107033² = 22912126178, 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 = 106999 and 107017.

It is not a weakly prime, because it can be changed into another prime (107053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53516 + 53517.

It is an arithmetic number, because the mean of its divisors is an integer number (53517).

2¹⁰⁷⁰³³ is an apocalyptic number.

It is an amenable number.

107033 is a deficient number, since it is larger than the sum of its proper divisors (1).

107033 is an equidigital number, since it uses as much as digits as its factorization.

107033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 14.

The square root of 107033 is about 327.1589827591. The cubic root of 107033 is about 47.4794740493.

Adding to 107033 its reverse (330701), we get a palindrome (437734).

The spelling of 107033 in words is "one hundred seven thousand, thirty-three".