106589113 has 2 divisors, whose sum is σ = 106589114. Its totient is φ = 106589112.

The previous prime is 106589111. The next prime is 106589173. The reversal of 106589113 is 311985601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75986089 + 30603024 = 8717^2 + 5532^2 .

It is a cyclic number.

It is not a de Polignac number, because 106589113 - 2¹ = 106589111 is a prime.

It is a super-2 number, since 2×106589113² = 22722478020253538, which contains 22 as substring.

Together with 106589111, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (106589111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53294556 + 53294557.

It is an arithmetic number, because the mean of its divisors is an integer number (53294557).

Almost surely, 2^106589113 is an apocalyptic number.

It is an amenable number.

106589113 is a deficient number, since it is larger than the sum of its proper divisors (1).

106589113 is an equidigital number, since it uses as much as digits as its factorization.

106589113 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 34.

The square root of 106589113 is about 10324.2003564441. The cubic root of 106589113 is about 474.1374751827.

The spelling of 106589113 in words is "one hundred six million, five hundred eighty-nine thousand, one hundred thirteen".