106582257 has 8 divisors (see below), whose sum is σ = 157899680. Its totient is φ = 71054820.

The previous prime is 106582249. The next prime is 106582283. The reversal of 106582257 is 752285601.

It is a happy number.

It is not a de Polignac number, because 106582257 - 2³ = 106582249 is a prime.

It is a super-2 number, since 2×106582257² = 22719555014428098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106582757) 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 in 7 ways as a sum of consecutive naturals, for example, 1973719 + ... + 1973772.

It is an arithmetic number, because the mean of its divisors is an integer number (19737460).

Almost surely, 2^106582257 is an apocalyptic number.

It is an amenable number.

106582257 is a deficient number, since it is larger than the sum of its proper divisors (51317423).

106582257 is an equidigital number, since it uses as much as digits as its factorization.

106582257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947500 (or 3947494 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 106582257 is about 10323.8683157041. The cubic root of 106582257 is about 474.1273091781.

The spelling of 106582257 in words is "one hundred six million, five hundred eighty-two thousand, two hundred fifty-seven".