105259993344 has 288 divisors, whose sum is σ = 340311283200. Its totient is φ = 31827363840.

The previous prime is 105259993343. The next prime is 105259993361. The reversal of 105259993344 is 443399952501.

105259993344 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 599 + 9 + 3 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×105259993344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (105259993343) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42804787 + ... + 42807245.

It is an arithmetic number, because the mean of its divisors is an integer number (1181636400).

Almost surely, 2^105259993344 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 105259993344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170155641600).

105259993344 is an abundant number, since it is smaller than the sum of its proper divisors (235051289856).

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

105259993344 is a wasteful number, since it uses less digits than its factorization.

105259993344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 105259993344 in words is "one hundred five billion, two hundred fifty-nine million, nine hundred ninety-three thousand, three hundred forty-four".