105345035761 has 27 divisors (see below), whose sum is σ = 123693985611. Its totient is φ = 89456409504.

The previous prime is 105345035759. The next prime is 105345035813. The reversal of 105345035761 is 167530543501.

The square root of 105345035761 is 324569.

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

It can be written as a sum of positive squares in only one way, i.e., 21393450225 + 83951585536 = 146265^2 + 289744^2 .

It is not a de Polignac number, because 105345035761 - 2¹ = 105345035759 is a prime.

It is a super-2 number, since 2×105345035761² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105345005761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 452124501 + ... + 452124733.

Almost surely, 2^105345035761 is an apocalyptic number.

105345035761 is the 324569-th square number.

105345035761 is the 162285-th centered octagonal number.

It is an amenable number.

105345035761 is a deficient number, since it is larger than the sum of its proper divisors (18348949850).

105345035761 is an frugal number, since it uses more digits than its factorization.

105345035761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 40.

The spelling of 105345035761 in words is "one hundred five billion, three hundred forty-five million, thirty-five thousand, seven hundred sixty-one".