10106509529 has 2 divisors, whose sum is σ = 10106509530. Its totient is φ = 10106509528.

The previous prime is 10106509519. The next prime is 10106509703. The reversal of 10106509529 is 92590560101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8068889929 + 2037619600 = 89827^2 + 45140^2 .

It is a cyclic number.

It is not a de Polignac number, because 10106509529 - 2¹² = 10106505433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10106509492 and 10106509501.

It is not a weakly prime, because it can be changed into another prime (10106509519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053254764 + 5053254765.

It is an arithmetic number, because the mean of its divisors is an integer number (5053254765).

Almost surely, 2^10106509529 is an apocalyptic number.

It is an amenable number.

10106509529 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106509529 is an equidigital number, since it uses as much as digits as its factorization.

10106509529 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24300, while the sum is 38.

The spelling of 10106509529 in words is "ten billion, one hundred six million, five hundred nine thousand, five hundred twenty-nine".