105030355224000 has 224 divisors, whose sum is σ = 347925403118592. Its totient is φ = 27918034560000.

The previous prime is 105030355223947. The next prime is 105030355224029. The reversal of 105030355224000 is 422553030501.

It is a super-2 number, since 2×105030355224000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428205 + ... + 14499795.

Almost surely, 2^{105030355224000} is an apocalyptic number.

105030355224000 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 105030355224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173962701559296).

105030355224000 is an abundant number, since it is smaller than the sum of its proper divisors (242895047894592).

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

105030355224000 is a wasteful number, since it uses less digits than its factorization.

105030355224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14071932 (or 14071912 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 105030355224000 in words is "one hundred five trillion, thirty billion, three hundred fifty-five million, two hundred twenty-four thousand".