105225648000 has 1024 divisors, whose sum is σ = 424812211200. Its totient is φ = 22708224000.

The previous prime is 105225647987. The next prime is 105225648037. The reversal of 105225648000 is 846522501.

It is a super-2 number, since 2×105225648000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 170543692 + ... + 170544308.

It is an arithmetic number, because the mean of its divisors is an integer number (414855675).

Almost surely, 2^105225648000 is an apocalyptic number.

105225648000 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 105225648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212406105600).

105225648000 is an abundant number, since it is smaller than the sum of its proper divisors (319586563200).

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

105225648000 is a wasteful number, since it uses less digits than its factorization.

105225648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 105225648000 in words is "one hundred five billion, two hundred twenty-five million, six hundred forty-eight thousand".