105493003200 has 504 divisors, whose sum is σ = 407444161488. Its totient is φ = 25732546560.

The previous prime is 105493003163. The next prime is 105493003207. The reversal of 105493003200 is 2300394501.

It is a super-2 number, since 2×105493003200² (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 (105493003207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 21151107 + ... + 21156093.

Almost surely, 2^105493003200 is an apocalyptic number.

105493003200 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 105493003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203722080744).

105493003200 is an abundant number, since it is smaller than the sum of its proper divisors (301951158288).

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

105493003200 is a wasteful number, since it uses less digits than its factorization.

105493003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5141 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 105493003200 its reverse (2300394501), we get a palindrome (107793397701).

The spelling of 105493003200 in words is "one hundred five billion, four hundred ninety-three million, three thousand, two hundred".