103412442400 has 216 divisors, whose sum is σ = 259327401984. Its totient is φ = 40265164800.

The previous prime is 103412442379. The next prime is 103412442443. The reversal of 103412442400 is 4244214301.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 541426305 + ... + 541426495.

It is an arithmetic number, because the mean of its divisors is an integer number (1200589824).

Almost surely, 2^103412442400 is an apocalyptic number.

103412442400 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 103412442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129663700992).

103412442400 is an abundant number, since it is smaller than the sum of its proper divisors (155914959584).

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

103412442400 is a wasteful number, since it uses less digits than its factorization.

103412442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 103412442400 its reverse (4244214301), we get a palindrome (107656656701).

The spelling of 103412442400 in words is "one hundred three billion, four hundred twelve million, four hundred forty-two thousand, four hundred".