10106773 has 2 divisors, whose sum is σ = 10106774. Its totient is φ = 10106772.

The previous prime is 10106741. The next prime is 10106783. The reversal of 10106773 is 37760101.

10106773 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7969329 + 2137444 = 2823^2 + 1462^2 .

It is an emirp because it is prime and its reverse (37760101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10106773 - 2⁵ = 10106741 is a prime.

It is equal to p₆₇₁₂₂₇ and since 10106773 and 671227 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10106783) 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, 5053386 + 5053387.

It is an arithmetic number, because the mean of its divisors is an integer number (5053387).

Almost surely, 2^10106773 is an apocalyptic number.

It is an amenable number.

10106773 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106773 is an equidigital number, since it uses as much as digits as its factorization.

10106773 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 25.

The square root of 10106773 is about 3179.1151284595. The cubic root of 10106773 is about 216.2075408638.

Adding to 10106773 its reverse (37760101), we get a palindrome (47866874).

The spelling of 10106773 in words is "ten million, one hundred six thousand, seven hundred seventy-three".