105363372260180 has 24 divisors (see below), whose sum is σ = 221294435745768. Its totient is φ = 42139376713728.

The previous prime is 105363372260131. The next prime is 105363372260231. The reversal of 105363372260180 is 81062273363501.

It can be written as a sum of positive squares in 4 ways, for example, as 13291901389636 + 92071470870544 = 3645806^2 + 9595388^2 .

It is a super-2 number, since 2×105363372260180² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373117229 + ... + 373399508.

It is an arithmetic number, because the mean of its divisors is an integer number (9220601489407).

Almost surely, 2^{105363372260180} is an apocalyptic number.

105363372260180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105363372260180 is an abundant number, since it is smaller than the sum of its proper divisors (115931063485588).

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

105363372260180 is a wasteful number, since it uses less digits than its factorization.

105363372260180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746523803 (or 746523801 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 105363372260180 in words is "one hundred five trillion, three hundred sixty-three billion, three hundred seventy-two million, two hundred sixty thousand, one hundred eighty".