103404414413300 has 1296 divisors, whose sum is σ = 328507926647040. Its totient is φ = 27901843200000.

The previous prime is 103404414413249. The next prime is 103404414413317. The reversal of 103404414413300 is 3314414404301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 14791072805 + ... + 14791079795.

Almost surely, 2^{103404414413300} is an apocalyptic number.

103404414413300 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 103404414413300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164253963323520).

103404414413300 is an abundant number, since it is smaller than the sum of its proper divisors (225103512233740).

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

103404414413300 is a wasteful number, since it uses less digits than its factorization.

103404414413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7174 (or 7149 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 103404414413300 its reverse (3314414404301), we get a palindrome (106718828817601).

The spelling of 103404414413300 in words is "one hundred three trillion, four hundred four billion, four hundred fourteen million, four hundred thirteen thousand, three hundred".