103433412433104 has 320 divisors, whose sum is σ = 327774621081600. Its totient is φ = 31030067271168.

The previous prime is 103433412433093. The next prime is 103433412433147. The reversal of 103433412433104 is 401334214334301.

103433412433104 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 334 + 1 + 2 + 4 + 3 + 310 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68674387 + ... + 70164365.

It is an arithmetic number, because the mean of its divisors is an integer number (1024295690880).

Almost surely, 2^{103433412433104} 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 103433412433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163887310540800).

103433412433104 is an abundant number, since it is smaller than the sum of its proper divisors (224341208648496).

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

103433412433104 is a wasteful number, since it uses less digits than its factorization.

103433412433104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490319 (or 1490307 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 103433412433104 its reverse (401334214334301), we get a palindrome (504767626767405).

The spelling of 103433412433104 in words is "one hundred three trillion, four hundred thirty-three billion, four hundred twelve million, four hundred thirty-three thousand, one hundred four".