106586441 has 6 divisors (see below), whose sum is σ = 115416270. Its totient is φ = 98387328.

The previous prime is 106586437. The next prime is 106586443. The reversal of 106586441 is 144685601.

It can be written as a sum of positive squares in 3 ways, for example, as 8497225 + 98089216 = 2915^2 + 9904^2 .

It is not a de Polignac number, because 106586441 - 2² = 106586437 is a prime.

It is a super-2 number, since 2×106586441² = 22721338810092962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106586443) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 315176 + ... + 315513.

It is an arithmetic number, because the mean of its divisors is an integer number (19236045).

Almost surely, 2^106586441 is an apocalyptic number.

It is an amenable number.

106586441 is a deficient number, since it is larger than the sum of its proper divisors (8829829).

106586441 is an equidigital number, since it uses as much as digits as its factorization.

106586441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630715 (or 630702 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 106586441 is about 10324.0709509379. The cubic root of 106586441 is about 474.1335132211.

The spelling of 106586441 in words is "one hundred six million, five hundred eighty-six thousand, four hundred forty-one".