105016420800 has 252 divisors, whose sum is σ = 375638650296. Its totient is φ = 27825408000.

The previous prime is 105016420793. The next prime is 105016420801. The reversal of 105016420800 is 8024610501.

105016420800 is a `hidden beast` number, since 1 + 0 + 501 + 64 + 20 + 80 + 0 = 666.

It is a super-2 number, since 2×105016420800² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105016420801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 2237575 + ... + 2284025.

Almost surely, 2^105016420800 is an apocalyptic number.

105016420800 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 105016420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187819325148).

105016420800 is an abundant number, since it is smaller than the sum of its proper divisors (270622229496).

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

105016420800 is a wasteful number, since it uses less digits than its factorization.

105016420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46636 (or 46618 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 105016420800 in words is "one hundred five billion, sixteen million, four hundred twenty thousand, eight hundred".