105610595728 has 80 divisors (see below), whose sum is σ = 239201315136. Its totient is φ = 44636549120.

The previous prime is 105610595659. The next prime is 105610595729. The reversal of 105610595728 is 827595016501.

It is a super-2 number, since 2×105610595728² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105610595729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35700 + ... + 460972.

Almost surely, 2^105610595728 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 105610595728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119600657568).

105610595728 is an abundant number, since it is smaller than the sum of its proper divisors (133590719408).

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

105610595728 is a wasteful number, since it uses less digits than its factorization.

105610595728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425392 (or 425386 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 49.

The spelling of 105610595728 in words is "one hundred five billion, six hundred ten million, five hundred ninety-five thousand, seven hundred twenty-eight".