105219530801 has 16 divisors (see below), whose sum is σ = 133333335168. Its totient is φ = 80645155200.

The previous prime is 105219530753. The next prime is 105219530827. The reversal of 105219530801 is 108035912501.

It is a cyclic number.

It is not a de Polignac number, because 105219530801 - 2¹⁰ = 105219529777 is a prime.

It is a super-2 number, since 2×105219530801² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105219530501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11196020 + ... + 11205413.

It is an arithmetic number, because the mean of its divisors is an integer number (8333333448).

Almost surely, 2^105219530801 is an apocalyptic number.

105219530801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105219530801 is a deficient number, since it is larger than the sum of its proper divisors (28113804367).

105219530801 is a wasteful number, since it uses less digits than its factorization.

105219530801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22401512.

The product of its (nonzero) digits is 10800, while the sum is 35.

The spelling of 105219530801 in words is "one hundred five billion, two hundred nineteen million, five hundred thirty thousand, eight hundred one".