105365809201 has 27 divisors (see below), whose sum is σ = 112293217323. Its totient is φ = 98860480560.

The previous prime is 105365809193. The next prime is 105365809247. The reversal of 105365809201 is 102908563501.

The square root of 105365809201 is 324601.

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., 94282773025 + 11083036176 = 307055^2 + 105276^2 .

It is not a de Polignac number, because 105365809201 - 2³ = 105365809193 is a prime.

It is a super-2 number, since 2×105365809201² (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 (105365809501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 372317206 + ... + 372317488.

It is an arithmetic number, because the mean of its divisors is an integer number (4159008049).

Almost surely, 2^105365809201 is an apocalyptic number.

105365809201 is the 324601-st square number.

105365809201 is the 162301-st centered octagonal number.

It is an amenable number.

105365809201 is a deficient number, since it is larger than the sum of its proper divisors (6927408122).

105365809201 is an frugal number, since it uses more digits than its factorization.

105365809201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 105365809201 in words is "one hundred five billion, three hundred sixty-five million, eight hundred nine thousand, two hundred one".