105525573409 has 3 divisors (see below), whose sum is σ = 105525898257. Its totient is φ = 105525248562.

The previous prime is 105525573403. The next prime is 105525573463. The reversal of 105525573409 is 904375525501.

The square root of 105525573409 is 324847.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 904375525501 = 7 ⋅129196503643.

It is not a de Polignac number, because 105525573409 - 2³ = 105525573401 is a prime.

It is a super-2 number, since 2×105525573409² (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 (105525573401) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 162424 + ... + 487270.

It is an arithmetic number, because the mean of its divisors is an integer number (35175299419).

Almost surely, 2^105525573409 is an apocalyptic number.

105525573409 is the 324847-th square number.

105525573409 is the 162424-th centered octagonal number.

It is an amenable number.

105525573409 is a deficient number, since it is larger than the sum of its proper divisors (324848).

105525573409 is an frugal number, since it uses more digits than its factorization.

105525573409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649694 (or 324847 counting only the distinct ones).

The product of its (nonzero) digits is 945000, while the sum is 46.

The spelling of 105525573409 in words is "one hundred five billion, five hundred twenty-five million, five hundred seventy-three thousand, four hundred nine".