105369342211849 has 9 divisors (see below), whose sum is σ = 111932323985941. Its totient is φ = 99170981371840.

The previous prime is 105369342211817. The next prime is 105369342211853. The reversal of 105369342211849 is 948112243963501.

The square root of 105369342211849 is 10264957.

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 1111601205625 + 104257741006224 = 1054325^2 + 10210668^2 .

It is not a de Polignac number, because 105369342211849 - 2⁵ = 105369342211817 is a prime.

It is a super-2 number, since 2×105369342211849² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105369342211793 and 105369342211802.

It is not an unprimeable number, because it can be changed into a prime (105369342211249) 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, 174202359 + ... + 174806179.

Almost surely, 2^{105369342211849} is an apocalyptic number.

105369342211849 is the 10264957-th square number.

105369342211849 is the 5132479-th centered octagonal number.

It is an amenable number.

105369342211849 is a deficient number, since it is larger than the sum of its proper divisors (6562981774092).

105369342211849 is an frugal number, since it uses more digits than its factorization.

105369342211849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1207676 (or 603838 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The spelling of 105369342211849 in words is "one hundred five trillion, three hundred sixty-nine billion, three hundred forty-two million, two hundred eleven thousand, eight hundred forty-nine".