105110304000 has 288 divisors, whose sum is σ = 375984021504. Its totient is φ = 25872998400.

The previous prime is 105110303941. The next prime is 105110304001. The reversal of 105110304000 is 403011501.

It is a super-2 number, since 2×105110304000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105110304001) 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 31 ways as a sum of consecutive naturals, for example, 1205889 + ... + 1290111.

Almost surely, 2^105110304000 is an apocalyptic number.

105110304000 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 105110304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187992010752).

105110304000 is an abundant number, since it is smaller than the sum of its proper divisors (270873717504).

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

105110304000 is an equidigital number, since it uses as much as digits as its factorization.

105110304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84270 (or 84246 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 105110304000 its reverse (403011501), we get a palindrome (105513315501).

The spelling of 105110304000 in words is "one hundred five billion, one hundred ten million, three hundred four thousand".