105505746016801 has 27 divisors (see below), whose sum is σ = 115402965416697. Its totient is φ = 96413336853600.

The previous prime is 105505746016747. The next prime is 105505746016843. The reversal of 105505746016801 is 108610647505501.

The square root of 105505746016801 is 10271599.

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 3979486368225 + 101526259648576 = 1994865^2 + 10076024^2 .

It is not a de Polignac number, because 105505746016801 - 2¹³ = 105505746008609 is a prime.

It is a super-2 number, since 2×105505746016801² (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 (105505746016501) 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, 13486605576 + ... + 13486613398.

Almost surely, 2^{105505746016801} is an apocalyptic number.

105505746016801 is the 10271599-th square number.

105505746016801 is the 5135800-th centered octagonal number.

It is an amenable number.

105505746016801 is a deficient number, since it is larger than the sum of its proper divisors (9897219399896).

105505746016801 is an frugal number, since it uses more digits than its factorization.

105505746016801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15874 (or 7937 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 49.

The spelling of 105505746016801 in words is "one hundred five trillion, five hundred five billion, seven hundred forty-six million, sixteen thousand, eight hundred one".