105574551461 has 24 divisors (see below), whose sum is σ = 114662962584. Its totient is φ = 96868638720.

The previous prime is 105574551451. The next prime is 105574551463. The reversal of 105574551461 is 164155475501.

It can be written as a sum of positive squares in 4 ways, for example, as 83821251361 + 21753300100 = 289519^2 + 147490^2 .

It is not a de Polignac number, because 105574551461 - 2¹⁰ = 105574550437 is a prime.

It is a super-2 number, since 2×105574551461² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105574551463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18133931 + ... + 18139751.

It is an arithmetic number, because the mean of its divisors is an integer number (4777623441).

Almost surely, 2^105574551461 is an apocalyptic number.

It is an amenable number.

105574551461 is a deficient number, since it is larger than the sum of its proper divisors (9088411123).

105574551461 is an equidigital number, since it uses as much as digits as its factorization.

105574551461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6501 (or 6458 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 44.

The spelling of 105574551461 in words is "one hundred five billion, five hundred seventy-four million, five hundred fifty-one thousand, four hundred sixty-one".