106104593169 has 45 divisors (see below), whose sum is σ = 168453138337. Its totient is φ = 66544160256.

The previous prime is 106104593107. The next prime is 106104593201. The reversal of 106104593169 is 961395401601.

The square root of 106104593169 is 325737.

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

106104593169 is a `hidden beast` number, since 10 + 610 + 4 + 5 + 9 + 3 + 16 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 146531025 + 105958062144 = 12105^2 + 325512^2 .

It is not a de Polignac number, because 106104593169 - 2⁷ = 106104593041 is a prime.

It is a super-2 number, since 2×106104593169² (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 (106104591169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49836697 + ... + 49838825.

Almost surely, 2^106104593169 is an apocalyptic number.

106104593169 is the 325737-th square number.

106104593169 is the 162869-th centered octagonal number.

It is an amenable number.

106104593169 is a deficient number, since it is larger than the sum of its proper divisors (62348545168).

106104593169 is an frugal number, since it uses more digits than its factorization.

106104593169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 106104593169 in words is "one hundred six billion, one hundred four million, five hundred ninety-three thousand, one hundred sixty-nine".