103301424142200 has 72 divisors (see below), whose sum is σ = 346920616083600. Its totient is φ = 27547046437440.

The previous prime is 103301424142159. The next prime is 103301424142237. The reversal of 103301424142200 is 2241424103301.

103301424142200 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 0 + 1 + 42 + 414 + 2 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28694838240 + ... + 28694841839.

It is an arithmetic number, because the mean of its divisors is an integer number (4818341890050).

Almost surely, 2^{103301424142200} is an apocalyptic number.

103301424142200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103301424142200 is an abundant number, since it is smaller than the sum of its proper divisors (243619191941400).

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

103301424142200 is a wasteful number, since it uses less digits than its factorization.

103301424142200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57389680101 (or 57389680089 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 103301424142200 its reverse (2241424103301), we get a palindrome (105542848245501).

The spelling of 103301424142200 in words is "one hundred three trillion, three hundred one billion, four hundred twenty-four million, one hundred forty-two thousand, two hundred".