106505166102 has 32 divisors (see below), whose sum is σ = 227379467520. Its totient is φ = 33159500640.

The previous prime is 106505166049. The next prime is 106505166143. The reversal of 106505166102 is 201661505601.

It is a super-2 number, since 2×106505166102² (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 6571173 + ... + 6587360.

It is an arithmetic number, because the mean of its divisors is an integer number (7105608360).

Almost surely, 2^106505166102 is an apocalyptic number.

106505166102 is an abundant number, since it is smaller than the sum of its proper divisors (120874301418).

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

106505166102 is a wasteful number, since it uses less digits than its factorization.

106505166102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13158628.

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 106505166102 in words is "one hundred six billion, five hundred five million, one hundred sixty-six thousand, one hundred two".