105645056000 has 448 divisors, whose sum is σ = 293686114176. Its totient is φ = 37617664000.

The previous prime is 105645055963. The next prime is 105645056009. The reversal of 105645056000 is 650546501.

It is a super-3 number, since 3×105645056000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (105645056009) 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, 934911944 + ... + 934912056.

It is an arithmetic number, because the mean of its divisors is an integer number (655549362).

Almost surely, 2^105645056000 is an apocalyptic number.

105645056000 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 105645056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146843057088).

105645056000 is an abundant number, since it is smaller than the sum of its proper divisors (188041058176).

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

105645056000 is an equidigital number, since it uses as much as digits as its factorization.

105645056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 105645056000 in words is "one hundred five billion, six hundred forty-five million, fifty-six thousand".