105568403200 has 216 divisors, whose sum is σ = 282628785600. Its totient is φ = 38808698880.

The previous prime is 105568403167. The next prime is 105568403263. The reversal of 105568403200 is 2304865501.

It is a super-2 number, since 2×105568403200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19882146 + ... + 19887454.

It is an arithmetic number, because the mean of its divisors is an integer number (1308466600).

Almost surely, 2^105568403200 is an apocalyptic number.

105568403200 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 105568403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141314392800).

105568403200 is an abundant number, since it is smaller than the sum of its proper divisors (177060382400).

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

105568403200 is a wasteful number, since it uses less digits than its factorization.

105568403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5587 (or 5568 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 105568403200 in words is "one hundred five billion, five hundred sixty-eight million, four hundred three thousand, two hundred".