106042493 has 2 divisors, whose sum is σ = 106042494. Its totient is φ = 106042492.

The previous prime is 106042471. The next prime is 106042511. The reversal of 106042493 is 394240601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104305369 + 1737124 = 10213^2 + 1318^2 .

It is an emirp because it is prime and its reverse (394240601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106042493 - 2¹⁰ = 106041469 is a prime.

It is a super-2 number, since 2×106042493² = 22490020643310098, which contains 22 as substring.

It is equal to p_6089042 and since 106042493 and 6089042 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 (106042403) 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, 53021246 + 53021247.

It is an arithmetic number, because the mean of its divisors is an integer number (53021247).

Almost surely, 2^106042493 is an apocalyptic number.

It is an amenable number.

106042493 is a deficient number, since it is larger than the sum of its proper divisors (1).

106042493 is an equidigital number, since it uses as much as digits as its factorization.

106042493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 106042493 is about 10297.6935767190. The cubic root of 106042493 is about 473.3255807212.

The spelling of 106042493 in words is "one hundred six million, forty-two thousand, four hundred ninety-three".