105335904384 has 224 divisors, whose sum is σ = 316313653500. Its totient is φ = 34924068864.

The previous prime is 105335904347. The next prime is 105335904389. The reversal of 105335904384 is 483409533501.

105335904384 is a `hidden beast` number, since 1 + 0 + 53 + 3 + 590 + 4 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 100407864384 + 4928040000 = 316872^2 + 70200^2 .

It is a super-2 number, since 2×105335904384² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105335904389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 18006292 + ... + 18012140.

Almost surely, 2^105335904384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105335904384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158156826750).

105335904384 is an abundant number, since it is smaller than the sum of its proper divisors (210977749116).

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

105335904384 is an frugal number, since it uses more digits than its factorization.

105335904384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6074 (or 6047 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 105335904384 in words is "one hundred five billion, three hundred thirty-five million, nine hundred four thousand, three hundred eighty-four".