105874096689 has 9 divisors (see below), whose sum is σ = 152930660779. Its totient is φ = 70582080360.

The previous prime is 105874096667. The next prime is 105874096703. The reversal of 105874096689 is 986690478501.

The square root of 105874096689 is 325383.

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

105874096689 is a `hidden beast` number, since 1 + 0 + 587 + 40 + 9 + 6 + 6 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 11833741089 + 94040355600 = 108783^2 + 306660^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 105874096689 - 2²¹ = 105871999537 is a prime.

It is a super-2 number, since 2×105874096689² (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 (105874096619) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 921919 + ... + 1030379.

Almost surely, 2^105874096689 is an apocalyptic number.

105874096689 is the 325383-rd square number.

105874096689 is the 162692-nd centered octagonal number.

It is an amenable number.

105874096689 is a deficient number, since it is larger than the sum of its proper divisors (47056564090).

105874096689 is an frugal number, since it uses more digits than its factorization.

105874096689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216928 (or 108464 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 105874096689 in words is "one hundred five billion, eight hundred seventy-four million, ninety-six thousand, six hundred eighty-nine".