105984986599801 has 27 divisors (see below), whose sum is σ = 107813154554703. Its totient is φ = 104187692488320.

The previous prime is 105984986599781. The next prime is 105984986599823. The reversal of 105984986599801 is 108995689489501.

The square root of 105984986599801 is 10294901.

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., 47591302836025 + 58393683763776 = 6898645^2 + 7641576^2 .

It is not a de Polignac number, because 105984986599801 - 2⁷ = 105984986599673 is a prime.

It is a super-2 number, since 2×105984986599801² (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 (105984986599001) 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, 210705738516 + ... + 210705739018.

Almost surely, 2^{105984986599801} is an apocalyptic number.

105984986599801 is the 10294901-st square number.

105984986599801 is the 5147451-st centered octagonal number.

It is an amenable number.

105984986599801 is a deficient number, since it is larger than the sum of its proper divisors (1828167954902).

105984986599801 is an frugal number, since it uses more digits than its factorization.

105984986599801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1622 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 2015539200, while the sum is 82.

The spelling of 105984986599801 in words is "one hundred five trillion, nine hundred eighty-four billion, nine hundred eighty-six million, five hundred ninety-nine thousand, eight hundred one".