105318885335040 has 2016 divisors, whose sum is σ = 439480016264016. Its totient is φ = 23109021204480.

The previous prime is 105318885335029. The next prime is 105318885335087. The reversal of 105318885335040 is 40533588813501.

105318885335040 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 1 + 8 + 88 + 53 + 3 + 504 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 63767763062784 + 41551122272256 = 7985472^2 + 6446016^2 .

It is a super-2 number, since 2×105318885335040² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29410466050 + ... + 29410469630.

Almost surely, 2^{105318885335040} is an apocalyptic number.

105318885335040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105318885335040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219740008132008).

105318885335040 is an abundant number, since it is smaller than the sum of its proper divisors (334161130928976).

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

105318885335040 is a wasteful number, since it uses less digits than its factorization.

105318885335040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 105318885335040 in words is "one hundred five trillion, three hundred eighteen billion, eight hundred eighty-five million, three hundred thirty-five thousand, forty".