106257529 has 6 divisors (see below), whose sum is σ = 123605754. Its totient is φ = 91077840.

The previous prime is 106257521. The next prime is 106257533. The reversal of 106257529 is 925752601.

It can be written as a sum of positive squares in only one way, i.e., 91164304 + 15093225 = 9548^2 + 3885^2 .

It is not a de Polignac number, because 106257529 - 2³ = 106257521 is a prime.

It is a super-2 number, since 2×106257529² = 22581324938371682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106257521) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1084212 + ... + 1084309.

It is an arithmetic number, because the mean of its divisors is an integer number (20600959).

Almost surely, 2^106257529 is an apocalyptic number.

It is an amenable number.

106257529 is a deficient number, since it is larger than the sum of its proper divisors (17348225).

106257529 is an equidigital number, since it uses as much as digits as its factorization.

106257529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168535 (or 2168528 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 106257529 is about 10308.1292677188. The cubic root of 106257529 is about 473.6453057523.

The spelling of 106257529 in words is "one hundred six million, two hundred fifty-seven thousand, five hundred twenty-nine".