106587085 has 24 divisors (see below), whose sum is σ = 144051768. Its totient is φ = 75609600.

The previous prime is 106587079. The next prime is 106587097. The reversal of 106587085 is 580785601.

It can be written as a sum of positive squares in 4 ways, for example, as 352836 + 106234249 = 594^2 + 10307^2 .

It is not a de Polignac number, because 106587085 - 2⁵ = 106587053 is a prime.

It is a super-2 number, since 2×106587085² = 22721613377594450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22657 + ... + 26953.

It is an arithmetic number, because the mean of its divisors is an integer number (6002157).

Almost surely, 2^106587085 is an apocalyptic number.

It is an amenable number.

106587085 is a deficient number, since it is larger than the sum of its proper divisors (37464683).

106587085 is a wasteful number, since it uses less digits than its factorization.

106587085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The square root of 106587085 is about 10324.1021401379. The cubic root of 106587085 is about 474.1344681310.

The spelling of 106587085 in words is "one hundred six million, five hundred eighty-seven thousand, eighty-five".