105564024401260 has 24 divisors (see below), whose sum is σ = 222242850380880. Its totient is φ = 42119248019904.

The previous prime is 105564024401219. The next prime is 105564024401273. The reversal of 105564024401260 is 62104420465501.

It is a super-2 number, since 2×105564024401260² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6647600650 + ... + 6647616529.

It is an arithmetic number, because the mean of its divisors is an integer number (9260118765870).

Almost surely, 2^{105564024401260} is an apocalyptic number.

105564024401260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105564024401260 is an abundant number, since it is smaller than the sum of its proper divisors (116678825979620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105564024401260 is a wasteful number, since it uses less digits than its factorization.

105564024401260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13295217585 (or 13295217583 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 105564024401260 its reverse (62104420465501), we get a palindrome (167668444866761).

The spelling of 105564024401260 in words is "one hundred five trillion, five hundred sixty-four billion, twenty-four million, four hundred one thousand, two hundred sixty".