106171585 has 8 divisors (see below), whose sum is σ = 137206440. Its totient is φ = 78403584.

The previous prime is 106171577. The next prime is 106171603. The reversal of 106171585 is 585171601.

It can be written as a sum of positive squares in 4 ways, for example, as 9168784 + 97002801 = 3028^2 + 9849^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106171585 - 2³ = 106171577 is a prime.

It is a super-2 number, since 2×106171585² = 22544810922824450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106171585.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 816640 + ... + 816769.

It is an arithmetic number, because the mean of its divisors is an integer number (17150805).

Almost surely, 2^106171585 is an apocalyptic number.

It is an amenable number.

106171585 is a deficient number, since it is larger than the sum of its proper divisors (31034855).

106171585 is a wasteful number, since it uses less digits than its factorization.

106171585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1633427.

The product of its (nonzero) digits is 8400, while the sum is 34.

The square root of 106171585 is about 10303.9596757751. The cubic root of 106171585 is about 473.5175722090.

The spelling of 106171585 in words is "one hundred six million, one hundred seventy-one thousand, five hundred eighty-five".