106501005171 has 32 divisors (see below), whose sum is σ = 172147127040. Its totient is φ = 64536955200.

The previous prime is 106501005161. The next prime is 106501005211. The reversal of 106501005171 is 171500105601.

It is a happy number.

106501005171 is a `hidden beast` number, since 1 + 0 + 650 + 1 + 0 + 0 + 5 + 1 + 7 + 1 = 666.

It is not a de Polignac number, because 106501005171 - 2²³ = 106492616563 is a prime.

It is a super-3 number, since 3×106501005171³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106501005161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2509696 + ... + 2551778.

It is an arithmetic number, because the mean of its divisors is an integer number (5379597720).

Almost surely, 2^106501005171 is an apocalyptic number.

106501005171 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106501005171 is a deficient number, since it is larger than the sum of its proper divisors (65646121869).

106501005171 is a wasteful number, since it uses less digits than its factorization.

106501005171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50624 (or 50618 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 27.

The spelling of 106501005171 in words is "one hundred six billion, five hundred one million, five thousand, one hundred seventy-one".