105953322169 has 8 divisors (see below), whose sum is σ = 106312560200. Its totient is φ = 105594402816.

The previous prime is 105953322151. The next prime is 105953322199. The reversal of 105953322169 is 961223359501.

It can be written as a sum of positive squares in 4 ways, for example, as 25871114025 + 80082208144 = 160845^2 + 282988^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105953322169 - 2³³ = 97363387577 is a prime.

It is a super-2 number, since 2×105953322169² (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 (105953322199) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596089 + ... + 753145.

It is an arithmetic number, because the mean of its divisors is an integer number (13289070025).

Almost surely, 2^105953322169 is an apocalyptic number.

It is an amenable number.

105953322169 is a deficient number, since it is larger than the sum of its proper divisors (359238031).

105953322169 is a wasteful number, since it uses less digits than its factorization.

105953322169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159339.

The product of its (nonzero) digits is 437400, while the sum is 46.

The spelling of 105953322169 in words is "one hundred five billion, nine hundred fifty-three million, three hundred twenty-two thousand, one hundred sixty-nine".