105444084348409 has 9 divisors (see below), whose sum is σ = 105595671078093. Its totient is φ = 105292714960032.

The previous prime is 105444084348367. The next prime is 105444084348437. The reversal of 105444084348409 is 904843480444501.

The square root of 105444084348409 is 10268597.

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

It can be written as a sum of positive squares in 4 ways, for example, as 69292388882025 + 36151695466384 = 8324205^2 + 6012628^2 .

It is not a de Polignac number, because 105444084348409 - 2¹¹ = 105444084346361 is a prime.

It is a super-2 number, since 2×105444084348409² (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 (105444084348469) 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, 7526874597 + ... + 7526888605.

Almost surely, 2^{105444084348409} is an apocalyptic number.

105444084348409 is the 10268597-th square number.

105444084348409 is the 5134299-th centered octagonal number.

It is an amenable number.

105444084348409 is a deficient number, since it is larger than the sum of its proper divisors (151586729684).

105444084348409 is an frugal number, since it uses more digits than its factorization.

105444084348409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29484 (or 14742 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 58.

The spelling of 105444084348409 in words is "one hundred five trillion, four hundred forty-four billion, eighty-four million, three hundred forty-eight thousand, four hundred nine".