106480173969 has 45 divisors (see below), whose sum is σ = 172301569473. Its totient is φ = 65502766368.

The previous prime is 106480173929. The next prime is 106480173979. The reversal of 106480173969 is 969371084601.

The square root of 106480173969 is 326313.

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

106480173969 is a `hidden beast` number, since 1 + 0 + 6 + 480 + 1 + 73 + 96 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7073651025 + 99406522944 = 84105^2 + 315288^2 .

It is not a de Polignac number, because 106480173969 - 2¹¹ = 106480171921 is a prime.

It is a super-2 number, since 2×106480173969² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106480173929) 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, 38177227 + ... + 38180015.

Almost surely, 2^106480173969 is an apocalyptic number.

106480173969 is the 326313-rd square number.

106480173969 is the 163157-th centered octagonal number.

It is an amenable number.

106480173969 is a deficient number, since it is larger than the sum of its proper divisors (65821395504).

106480173969 is an frugal number, since it uses more digits than its factorization.

106480173969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5616 (or 2805 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 106480173969 in words is "one hundred six billion, four hundred eighty million, one hundred seventy-three thousand, nine hundred sixty-nine".