103201112433204 has 192 divisors, whose sum is σ = 273453913958400. Its totient is φ = 33651265065984.

The previous prime is 103201112433169. The next prime is 103201112433311. The reversal of 103201112433204 is 402334211102301.

103201112433204 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 0 + 11 + 12 + 433 + 204 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 472828402 + ... + 473046614.

It is an arithmetic number, because the mean of its divisors is an integer number (1424239135200).

Almost surely, 2^{103201112433204} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103201112433204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136726956979200).

103201112433204 is an abundant number, since it is smaller than the sum of its proper divisors (170252801525196).

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

103201112433204 is a wasteful number, since it uses less digits than its factorization.

103201112433204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218791 (or 218783 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 103201112433204 its reverse (402334211102301), we get a palindrome (505535323535505).

The spelling of 103201112433204 in words is "one hundred three trillion, two hundred one billion, one hundred twelve million, four hundred thirty-three thousand, two hundred four".