105936528880 has 160 divisors (see below), whose sum is σ = 306980352000. Its totient is φ = 33102590976.

The previous prime is 105936528791. The next prime is 105936528881. The reversal of 105936528880 is 88825639501.

It is a super-3 number, since 3×105936528880³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105936528881) 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, 483021 + ... + 667219.

It is an arithmetic number, because the mean of its divisors is an integer number (1918627200).

Almost surely, 2^105936528880 is an apocalyptic number.

105936528880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105936528880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153490176000).

105936528880 is an abundant number, since it is smaller than the sum of its proper divisors (201043823120).

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

105936528880 is a wasteful number, since it uses less digits than its factorization.

105936528880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184311 (or 184305 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 55.

The spelling of 105936528880 in words is "one hundred five billion, nine hundred thirty-six million, five hundred twenty-eight thousand, eight hundred eighty".