106586320 has 20 divisors (see below), whose sum is σ = 247813380. Its totient is φ = 42634496.

The previous prime is 106586299. The next prime is 106586321. The reversal of 106586320 is 23685601.

It can be written as a sum of positive squares in 2 ways, for example, as 42458256 + 64128064 = 6516^2 + 8008^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×106586320² = 22721287222284800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106586321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 666085 + ... + 666244.

It is an arithmetic number, because the mean of its divisors is an integer number (12390669).

Almost surely, 2^106586320 is an apocalyptic number.

106586320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106586320 is an abundant number, since it is smaller than the sum of its proper divisors (141227060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106586320 is a wasteful number, since it uses less digits than its factorization.

106586320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332342 (or 1332336 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 106586320 is about 10324.0650908448. The cubic root of 106586320 is about 474.1333338043.

The spelling of 106586320 in words is "one hundred six million, five hundred eighty-six thousand, three hundred twenty".