171405108121 has 9 divisors (see below), whose sum is σ = 185610176031. Its totient is φ = 158215131672.

The previous prime is 171405108109. The next prime is 171405108137. The reversal of 171405108121 is 121801504171.

The square root of 171405108121 is 414011.

It is a perfect power (a square), and thus also a powerful number.

171405108121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 25355785225 + 146049322896 = 159235^2 + 382164^2 .

It is not a de Polignac number, because 171405108121 - 2²⁷ = 171270890393 is a prime.

It is a super-2 number, since 2×171405108121² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (171405105121) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 5366220 + ... + 5398066.

Almost surely, 2^171405108121 is an apocalyptic number.

171405108121 is the 414011-st square number.

171405108121 is the 207006-th centered octagonal number.

It is an amenable number.

171405108121 is a deficient number, since it is larger than the sum of its proper divisors (14205067910).

171405108121 is an frugal number, since it uses more digits than its factorization.

171405108121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63720 (or 31860 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 31.

The spelling of 171405108121 in words is "one hundred seventy-one billion, four hundred five million, one hundred eight thousand, one hundred twenty-one".