106505513 has 2 divisors, whose sum is σ = 106505514. Its totient is φ = 106505512.

The previous prime is 106505471. The next prime is 106505521. The reversal of 106505513 is 315505601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93161104 + 13344409 = 9652^2 + 3653^2 .

It is a cyclic number.

It is not a de Polignac number, because 106505513 - 2⁸ = 106505257 is a prime.

It is a super-2 number, since 2×106505513² = 22686848598786338, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106505533) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53252756 + 53252757.

It is an arithmetic number, because the mean of its divisors is an integer number (53252757).

Almost surely, 2^106505513 is an apocalyptic number.

It is an amenable number.

106505513 is a deficient number, since it is larger than the sum of its proper divisors (1).

106505513 is an equidigital number, since it uses as much as digits as its factorization.

106505513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2250, while the sum is 26.

The square root of 106505513 is about 10320.1508225413. The cubic root of 106505513 is about 474.0134842194.

The spelling of 106505513 in words is "one hundred six million, five hundred five thousand, five hundred thirteen".