105318474813360 has 120 divisors (see below), whose sum is σ = 369072568317024. Its totient is φ = 26863842846720.

The previous prime is 105318474813359. The next prime is 105318474813361. The reversal of 105318474813360 is 63318474813501.

105318474813360 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 8 + 474 + 81 + 33 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (105318474813359) and next prime (105318474813361).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105318474813360² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105318474813297 and 105318474813306.

It is not an unprimeable number, because it can be changed into a prime (105318474813361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3179889081 + ... + 3179922200.

Almost surely, 2^{105318474813360} is an apocalyptic number.

105318474813360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105318474813360 is an abundant number, since it is smaller than the sum of its proper divisors (263754093503664).

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

105318474813360 is a wasteful number, since it uses less digits than its factorization.

105318474813360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6359811323 (or 6359811314 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 105318474813360 in words is "one hundred five trillion, three hundred eighteen billion, four hundred seventy-four million, eight hundred thirteen thousand, three hundred sixty".