106586440 has 16 divisors (see below), whose sum is σ = 239819580. Its totient is φ = 42634560.

The previous prime is 106586437. The next prime is 106586443. The reversal of 106586440 is 44685601.

It is an interprime number because it is at equal distance from previous prime (106586437) and next prime (106586443).

It can be written as a sum of positive squares in 2 ways, for example, as 106461124 + 125316 = 10318^2 + 354^2 .

It is a super-2 number, since 2×106586440² = 22721338383747200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106586396 and 106586405.

It is not an unprimeable number, because it can be changed into a prime (106586443) 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, 1332291 + ... + 1332370.

Almost surely, 2^106586440 is an apocalyptic number.

106586440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106586440 is an abundant number, since it is smaller than the sum of its proper divisors (133233140).

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

106586440 is a wasteful number, since it uses less digits than its factorization.

106586440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664672 (or 2664668 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 106586440 is about 10324.0709025074. The cubic root of 106586440 is about 474.1335117383.

The spelling of 106586440 in words is "one hundred six million, five hundred eighty-six thousand, four hundred forty".