103204112213400 has 768 divisors, whose sum is σ = 372286886400000. Its totient is φ = 23373506150400.

The previous prime is 103204112213359. The next prime is 103204112213473. The reversal of 103204112213400 is 4312211402301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9924421401 + ... + 9924431799.

It is an arithmetic number, because the mean of its divisors is an integer number (484748550000).

Almost surely, 2^{103204112213400} is an apocalyptic number.

103204112213400 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 103204112213400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186143443200000).

103204112213400 is an abundant number, since it is smaller than the sum of its proper divisors (269082774186600).

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

103204112213400 is a wasteful number, since it uses less digits than its factorization.

103204112213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11092 (or 11083 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 103204112213400 its reverse (4312211402301), we get a palindrome (107516323615701).

The spelling of 103204112213400 in words is "one hundred three trillion, two hundred four billion, one hundred twelve million, two hundred thirteen thousand, four hundred".