105355665024 has 128 divisors (see below), whose sum is σ = 296020483200. Its totient is φ = 33131298816.

The previous prime is 105355664977. The next prime is 105355665031. The reversal of 105355665024 is 420566553501.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105355665024² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 563032 + ... + 726440.

It is an arithmetic number, because the mean of its divisors is an integer number (2312660025).

Almost surely, 2^105355665024 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 105355665024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148010241600).

105355665024 is an abundant number, since it is smaller than the sum of its proper divisors (190664818176).

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

105355665024 is a wasteful number, since it uses less digits than its factorization.

105355665024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163522 (or 163510 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 105355665024 in words is "one hundred five billion, three hundred fifty-five million, six hundred sixty-five thousand, twenty-four".