106807133 has 2 divisors, whose sum is σ = 106807134. Its totient is φ = 106807132.

The previous prime is 106807117. The next prime is 106807177. The reversal of 106807133 is 331708601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63075364 + 43731769 = 7942^2 + 6613^2 .

It is a cyclic number.

It is not a de Polignac number, because 106807133 - 2⁴ = 106807117 is a prime.

It is a super-2 number, since 2×106807133² = 22815527319359378, 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 = 106807096 and 106807105.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106807633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53403566 + 53403567.

It is an arithmetic number, because the mean of its divisors is an integer number (53403567).

Almost surely, 2^106807133 is an apocalyptic number.

It is an amenable number.

106807133 is a deficient number, since it is larger than the sum of its proper divisors (1).

106807133 is an equidigital number, since it uses as much as digits as its factorization.

106807133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 106807133 is about 10334.7536497006. The cubic root of 106807133 is about 474.4605258517.

The spelling of 106807133 in words is "one hundred six million, eight hundred seven thousand, one hundred thirty-three".