105512344000 has 224 divisors, whose sum is σ = 308268380160. Its totient is φ = 35008128000.

The previous prime is 105512343971. The next prime is 105512344009. The reversal of 105512344000 is 443215501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×105512344000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105512344009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1705611 + ... + 1766389.

Almost surely, 2^105512344000 is an apocalyptic number.

105512344000 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 105512344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154134190080).

105512344000 is an abundant number, since it is smaller than the sum of its proper divisors (202756036160).

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

105512344000 is an equidigital number, since it uses as much as digits as its factorization.

105512344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60844 (or 60824 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 105512344000 its reverse (443215501), we get a palindrome (105955559501).

The spelling of 105512344000 in words is "one hundred five billion, five hundred twelve million, three hundred forty-four thousand".