105336599040 has 400 divisors, whose sum is σ = 381244708152. Its totient is φ = 27794866176.

The previous prime is 105336599023. The next prime is 105336599083. The reversal of 105336599040 is 40995633501.

105336599040 is a `hidden beast` number, since 1 + 0 + 53 + 3 + 6 + 599 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 96656322816 + 8680276224 = 310896^2 + 93168^2 .

It is a super-2 number, since 2×105336599040² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20111302 + ... + 20116538.

Almost surely, 2^105336599040 is an apocalyptic number.

105336599040 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 105336599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190622354076).

105336599040 is an abundant number, since it is smaller than the sum of its proper divisors (275908109112).

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

105336599040 is an frugal number, since it uses more digits than its factorization.

105336599040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5369 (or 5344 counting only the distinct ones).

The product of its (nonzero) digits is 437400, while the sum is 45.

The spelling of 105336599040 in words is "one hundred five billion, three hundred thirty-six million, five hundred ninety-nine thousand, forty".