106413529 has 2 divisors, whose sum is σ = 106413530. Its totient is φ = 106413528.

The previous prime is 106413493. The next prime is 106413563. The reversal of 106413529 is 925314601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99042304 + 7371225 = 9952^2 + 2715^2 .

It is a cyclic number.

It is not a de Polignac number, because 106413529 - 2⁷ = 106413401 is a prime.

It is a super-2 number, since 2×106413529² = 22647678308467682, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106413529.

It is not a weakly prime, because it can be changed into another prime (106413589) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53206764 + 53206765.

It is an arithmetic number, because the mean of its divisors is an integer number (53206765).

Almost surely, 2^106413529 is an apocalyptic number.

It is an amenable number.

106413529 is a deficient number, since it is larger than the sum of its proper divisors (1).

106413529 is an equidigital number, since it uses as much as digits as its factorization.

106413529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 106413529 is about 10315.6933358839. The cubic root of 106413529 is about 473.8769835714.

The spelling of 106413529 in words is "one hundred six million, four hundred thirteen thousand, five hundred twenty-nine".