105335464464 has 180 divisors, whose sum is σ = 317452744596. Its totient is φ = 32592789504.

The previous prime is 105335464439. The next prime is 105335464471. The reversal of 105335464464 is 464464533501.

105335464464 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 3 + 546 + 44 + 64 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 514926864 + 104820537600 = 22692^2 + 323760^2 .

It is a super-2 number, since 2×105335464464² (a number of 23 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 35 ways as a sum of consecutive naturals, for example, 3020632 + ... + 3055304.

Almost surely, 2^105335464464 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 105335464464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158726372298).

105335464464 is an abundant number, since it is smaller than the sum of its proper divisors (212117280132).

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

105335464464 is a wasteful number, since it uses less digits than its factorization.

105335464464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34794 (or 34768 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 105335464464 its reverse (464464533501), we get a palindrome (569799997965).

The spelling of 105335464464 in words is "one hundred five billion, three hundred thirty-five million, four hundred sixty-four thousand, four hundred sixty-four".