106516002005 has 32 divisors (see below), whose sum is σ = 153219326976. Its totient is φ = 69553430784.

The previous prime is 106516001951. The next prime is 106516002041. The reversal of 106516002005 is 500200615601.

It is a cyclic number.

It is not a de Polignac number, because 106516002005 - 2⁸ = 106516001749 is a prime.

It is a super-2 number, since 2×106516002005² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 814154 + ... + 935883.

It is an arithmetic number, because the mean of its divisors is an integer number (4788103968).

Almost surely, 2^106516002005 is an apocalyptic number.

It is an amenable number.

106516002005 is a deficient number, since it is larger than the sum of its proper divisors (46703324971).

106516002005 is a wasteful number, since it uses less digits than its factorization.

106516002005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750133.

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 106516002005 its reverse (500200615601), we get a palindrome (606716617606).

The spelling of 106516002005 in words is "one hundred six billion, five hundred sixteen million, two thousand, five".