103212443400 has 576 divisors, whose sum is σ = 375000373440. Its totient is φ = 23384064000.

The previous prime is 103212443393. The next prime is 103212443401. The reversal of 103212443400 is 4344212301.

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

It is not an unprimeable number, because it can be changed into a prime (103212443401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 297442027 + ... + 297442373.

It is an arithmetic number, because the mean of its divisors is an integer number (651042315).

Almost surely, 2^103212443400 is an apocalyptic number.

103212443400 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 103212443400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187500186720).

103212443400 is an abundant number, since it is smaller than the sum of its proper divisors (271787930040).

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

103212443400 is a wasteful number, since it uses less digits than its factorization.

103212443400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 103212443400 its reverse (4344212301), we get a palindrome (107556655701).

The spelling of 103212443400 in words is "one hundred three billion, two hundred twelve million, four hundred forty-three thousand, four hundred".