103201112433168 has 120 divisors (see below), whose sum is σ = 297102094248960. Its totient is φ = 33420912913920.

The previous prime is 103201112433049. The next prime is 103201112433169. The reversal of 103201112433168 is 861334211102301.

103201112433168 is a `hidden beast` number, since 1 + 0 + 3 + 201 + 1 + 1 + 2 + 433 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103201112433169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35157696 + ... + 37979807.

It is an arithmetic number, because the mean of its divisors is an integer number (2475850785408).

Almost surely, 2^{103201112433168} is an apocalyptic number.

103201112433168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103201112433168 is an abundant number, since it is smaller than the sum of its proper divisors (193900981815792).

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

103201112433168 is a wasteful number, since it uses less digits than its factorization.

103201112433168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73137797 (or 73137788 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 103201112433168 its reverse (861334211102301), we get a palindrome (964535323535469).

The spelling of 103201112433168 in words is "one hundred three trillion, two hundred one billion, one hundred twelve million, four hundred thirty-three thousand, one hundred sixty-eight".