105084084171 has 64 divisors (see below), whose sum is σ = 158697455616. Its totient is φ = 61292246400.

The previous prime is 105084084169. The next prime is 105084084197. The reversal of 105084084171 is 171480480501.

It is not a de Polignac number, because 105084084171 - 2¹ = 105084084169 is a prime.

It is a super-2 number, since 2×105084084171² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105084084071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45470106 + ... + 45472416.

It is an arithmetic number, because the mean of its divisors is an integer number (2479647744).

Almost surely, 2^105084084171 is an apocalyptic number.

105084084171 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105084084171 is a deficient number, since it is larger than the sum of its proper divisors (53613371445).

105084084171 is a wasteful number, since it uses less digits than its factorization.

105084084171 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752.

The product of its (nonzero) digits is 35840, while the sum is 39.

The spelling of 105084084171 in words is "one hundred five billion, eighty-four million, eighty-four thousand, one hundred seventy-one".