106510005 has 64 divisors (see below), whose sum is σ = 221760000. Its totient is φ = 47485440.

The previous prime is 106509979. The next prime is 106510043. The reversal of 106510005 is 500015601.

106510005 is a `hidden beast` number, since 10 + 651 + 0 + 0 + 0 + 5 = 666.

It is not a de Polignac number, because 106510005 - 2⁵ = 106509973 is a prime.

It is a super-2 number, since 2×106510005² = 22688762330200050, 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 106510005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37371 + ... + 40119.

It is an arithmetic number, because the mean of its divisors is an integer number (3465000).

Almost surely, 2^106510005 is an apocalyptic number.

106510005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106510005 is an abundant number, since it is smaller than the sum of its proper divisors (115249995).

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

106510005 is a wasteful number, since it uses less digits than its factorization.

106510005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2811 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 106510005 is about 10320.3684527249. The cubic root of 106510005 is about 474.0201481581.

Adding to 106510005 its reverse (500015601), we get a palindrome (606525606).

The spelling of 106510005 in words is "one hundred six million, five hundred ten thousand, five".