105234483728 has 80 divisors (see below), whose sum is σ = 232766352000. Its totient is φ = 45622410240.

The previous prime is 105234483709. The next prime is 105234483791. The reversal of 105234483728 is 827384432501.

It is a super-2 number, since 2×105234483728² (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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1375508 + ... + 1449996.

It is an arithmetic number, because the mean of its divisors is an integer number (2909579400).

Almost surely, 2^105234483728 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 105234483728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116383176000).

105234483728 is an abundant number, since it is smaller than the sum of its proper divisors (127531868272).

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

105234483728 is a wasteful number, since it uses less digits than its factorization.

105234483728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74880 (or 74874 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 105234483728 in words is "one hundred five billion, two hundred thirty-four million, four hundred eighty-three thousand, seven hundred twenty-eight".