105552304000 has 256 divisors, whose sum is σ = 308315367360. Its totient is φ = 35429376000.

The previous prime is 105552303991. The next prime is 105552304019. The reversal of 105552304000 is 403255501.

It is a super-2 number, since 2×105552304000² (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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2264934 + ... + 2311066.

Almost surely, 2^105552304000 is an apocalyptic number.

105552304000 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 105552304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154157683680).

105552304000 is an abundant number, since it is smaller than the sum of its proper divisors (202763063360).

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

105552304000 is a wasteful number, since it uses less digits than its factorization.

105552304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46186 (or 46164 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

Adding to 105552304000 its reverse (403255501), we get a palindrome (105955559501).

The spelling of 105552304000 in words is "one hundred five billion, five hundred fifty-two million, three hundred four thousand".