105282026054209 has 45 divisors (see below), whose sum is σ = 113947914134259. Its totient is φ = 97273927008720.

The previous prime is 105282026054141. The next prime is 105282026054221. The reversal of 105282026054209 is 902450620282501.

The square root of 105282026054209 is 10260703.

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., 83595308444209 + 21686717610000 = 9143047^2 + 4656900^2 .

It is not a de Polignac number, because 105282026054209 - 2⁷ = 105282026054081 is a prime.

It is a super-2 number, since 2×105282026054209² (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 (105282026054509) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 159276892339 + ... + 159276892999.

Almost surely, 2^{105282026054209} is an apocalyptic number.

105282026054209 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

105282026054209 is the 10260703-rd square number.

105282026054209 is the 5130352-nd centered octagonal number.

It is an amenable number.

105282026054209 is a deficient number, since it is larger than the sum of its proper divisors (8665888080050).

105282026054209 is an frugal number, since it uses more digits than its factorization.

105282026054209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 46.

The spelling of 105282026054209 in words is "one hundred five trillion, two hundred eighty-two billion, twenty-six million, fifty-four thousand, two hundred nine".