106087005 has 24 divisors (see below), whose sum is σ = 184143960. Its totient is φ = 56499840.

The previous prime is 106087001. The next prime is 106087019. The reversal of 106087005 is 500780601.

It can be written as a sum of positive squares in 4 ways, for example, as 28611801 + 77475204 = 5349^2 + 8802^2 .

It is not a de Polignac number, because 106087005 - 2² = 106087001 is a prime.

It is a super-2 number, since 2×106087005² = 22508905259740050, 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 106087005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106087001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44791 + ... + 47099.

It is an arithmetic number, because the mean of its divisors is an integer number (7672665).

Almost surely, 2^106087005 is an apocalyptic number.

106087005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106087005 is a deficient number, since it is larger than the sum of its proper divisors (78056955).

106087005 is a wasteful number, since it uses less digits than its factorization.

106087005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3341 (or 3338 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 106087005 is about 10299.8546106244. The cubic root of 106087005 is about 473.3917985817.

The spelling of 106087005 in words is "one hundred six million, eighty-seven thousand, five".