105082734474169 has 15 divisors (see below), whose sum is σ = 108595669022885. Its totient is φ = 101683435428060.

The previous prime is 105082734474163. The next prime is 105082734474209. The reversal of 105082734474169 is 961474437280501.

It is a happy number.

The square root of 105082734474169 is 10250987.

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

It is not a de Polignac number, because 105082734474169 - 2²¹ = 105082732377017 is a prime.

It is a super-2 number, since 2×105082734474169² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105082734474163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 9851193174 + ... + 9851203840.

It is a 1-persistent number, because it is pandigital, but 2⋅105082734474169 = 210165468948338 is not.

Almost surely, 2^{105082734474169} is an apocalyptic number.

105082734474169 is the 10250987-th square number.

105082734474169 is the 5125494-th centered octagonal number.

It is an amenable number.

105082734474169 is a deficient number, since it is larger than the sum of its proper divisors (3512934548716).

105082734474169 is an frugal number, since it uses more digits than its factorization.

105082734474169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21458 (or 10698 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 61.

The spelling of 105082734474169 in words is "one hundred five trillion, eighty-two billion, seven hundred thirty-four million, four hundred seventy-four thousand, one hundred sixty-nine".