105492434444401 has 27 divisors (see below), whose sum is σ = 111742526223777. Its totient is φ = 99587140896000.

The previous prime is 105492434444363. The next prime is 105492434444413. The reversal of 105492434444401 is 104444434294501.

The square root of 105492434444401 is 10270951.

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 46482383204401 + 59010051240000 = 6817799^2 + 7681800^2 .

It is not a de Polignac number, because 105492434444401 - 2¹⁵ = 105492434411633 is a prime.

It is a super-2 number, since 2×105492434444401² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105492434444431) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13054374681 + ... + 13054382761.

Almost surely, 2^{105492434444401} is an apocalyptic number.

105492434444401 is the 10270951-st square number.

105492434444401 is the 5135476-th centered octagonal number.

It is an amenable number.

105492434444401 is a deficient number, since it is larger than the sum of its proper divisors (6250091779376).

105492434444401 is an frugal number, since it uses more digits than its factorization.

105492434444401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16306 (or 8153 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 49.

The spelling of 105492434444401 in words is "one hundred five trillion, four hundred ninety-two billion, four hundred thirty-four million, four hundred forty-four thousand, four hundred one".