105427171200 has 192 divisors, whose sum is σ = 373962783600. Its totient is φ = 25951272960.

The previous prime is 105427171183. The next prime is 105427171211. The reversal of 105427171200 is 2171724501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105427171200² (a number of 23 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 23 ways as a sum of consecutive naturals, for example, 297585 + ... + 547184.

Almost surely, 2^105427171200 is an apocalyptic number.

105427171200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105427171200 is an abundant number, since it is smaller than the sum of its proper divisors (268535612400).

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

105427171200 is a wasteful number, since it uses less digits than its factorization.

105427171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844809 (or 844792 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

Adding to 105427171200 its reverse (2171724501), we get a palindrome (107598895701).

The spelling of 105427171200 in words is "one hundred five billion, four hundred twenty-seven million, one hundred seventy-one thousand, two hundred".