106582871 has 2 divisors, whose sum is σ = 106582872. Its totient is φ = 106582870.

The previous prime is 106582831. The next prime is 106582891. The reversal of 106582871 is 178285601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106582871 - 2¹⁰ = 106581847 is a prime.

It is a super-2 number, since 2×106582871² = 22719816781205282, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106582811) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53291435 + 53291436.

It is an arithmetic number, because the mean of its divisors is an integer number (53291436).

Almost surely, 2^106582871 is an apocalyptic number.

106582871 is a deficient number, since it is larger than the sum of its proper divisors (1).

106582871 is an equidigital number, since it uses as much as digits as its factorization.

106582871 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 38.

The square root of 106582871 is about 10323.8980525768. The cubic root of 106582871 is about 474.1282196286.

The spelling of 106582871 in words is "one hundred six million, five hundred eighty-two thousand, eight hundred seventy-one".