105354205344 has 432 divisors, whose sum is σ = 325918494720. Its totient is φ = 32267289600.

The previous prime is 105354205321. The next prime is 105354205399. The reversal of 105354205344 is 443502453501.

105354205344 is a `hidden beast` number, since 1 + 0 + 53 + 54 + 20 + 534 + 4 = 666.

It is a super-2 number, since 2×105354205344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105354205299 and 105354205308.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 829560609 + ... + 829560735.

It is an arithmetic number, because the mean of its divisors is an integer number (754440960).

Almost surely, 2^105354205344 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 105354205344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162959247360).

105354205344 is an abundant number, since it is smaller than the sum of its proper divisors (220564289376).

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

105354205344 is a wasteful number, since it uses less digits than its factorization.

105354205344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 105354205344 its reverse (443502453501), we get a palindrome (548856658845).

The spelling of 105354205344 in words is "one hundred five billion, three hundred fifty-four million, two hundred five thousand, three hundred forty-four".