105072144000 has 512 divisors, whose sum is σ = 362274232320. Its totient is φ = 26910720000.

The previous prime is 105072143977. The next prime is 105072144007. The reversal of 105072144000 is 441270501.

It is a super-2 number, since 2×105072144000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (105072144007) 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 63 ways as a sum of consecutive naturals, for example, 358607854 + ... + 358608146.

It is an arithmetic number, because the mean of its divisors is an integer number (707566860).

Almost surely, 2^105072144000 is an apocalyptic number.

105072144000 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 105072144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181137116160).

105072144000 is an abundant number, since it is smaller than the sum of its proper divisors (257202088320).

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

105072144000 is a wasteful number, since it uses less digits than its factorization.

105072144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The spelling of 105072144000 in words is "one hundred five billion, seventy-two million, one hundred forty-four thousand".