105047703728 has 80 divisors (see below), whose sum is σ = 234768307200. Its totient is φ = 45032682240.

The previous prime is 105047703721. The next prime is 105047703749. The reversal of 105047703728 is 827307740501.

It is a super-2 number, since 2×105047703728² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (105047703721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 675278 + ... + 816146.

It is an arithmetic number, because the mean of its divisors is an integer number (2934603840).

Almost surely, 2^105047703728 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 105047703728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117384153600).

105047703728 is an abundant number, since it is smaller than the sum of its proper divisors (129720603472).

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

105047703728 is a wasteful number, since it uses less digits than its factorization.

105047703728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141130 (or 141124 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 44.

The spelling of 105047703728 in words is "one hundred five billion, forty-seven million, seven hundred three thousand, seven hundred twenty-eight".