105990528000 has 1056 divisors, whose sum is σ = 422867098368. Its totient is φ = 23482368000.

The previous prime is 105990527977. The next prime is 105990528047. The reversal of 105990528000 is 825099501.

It is a super-2 number, since 2×105990528000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105990528000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 809087935 + ... + 809088065.

It is an arithmetic number, because the mean of its divisors is an integer number (400442328).

Almost surely, 2^105990528000 is an apocalyptic number.

105990528000 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 105990528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211433549184).

105990528000 is an abundant number, since it is smaller than the sum of its proper divisors (316876570368).

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

105990528000 is a wasteful number, since it uses less digits than its factorization.

105990528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 39.

The spelling of 105990528000 in words is "one hundred five billion, nine hundred ninety million, five hundred twenty-eight thousand".