103295040307200 has 4860 divisors, whose sum is σ = 491016362767840. Its totient is φ = 21051903836160.

The previous prime is 103295040307189. The next prime is 103295040307231. The reversal of 103295040307200 is 2703040592301.

103295040307200 is a `hidden beast` number, since 1 + 0 + 3 + 295 + 0 + 40 + 307 + 20 + 0 = 666.

103295040307200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (4860).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 5436581068791 + ... + 5436581068809.

Almost surely, 2^{103295040307200} is an apocalyptic number.

103295040307200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103295040307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245508181383920).

103295040307200 is an abundant number, since it is smaller than the sum of its proper divisors (387721322460640).

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

103295040307200 is an frugal number, since it uses more digits than its factorization.

103295040307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 103295040307200 its reverse (2703040592301), we get a palindrome (105998080899501).

The spelling of 103295040307200 in words is "one hundred three trillion, two hundred ninety-five billion, forty million, three hundred seven thousand, two hundred".