103523030400 has 192 divisors, whose sum is σ = 342019627200. Its totient is φ = 27521894400.

The previous prime is 103523030353. The next prime is 103523030407. The reversal of 103523030400 is 4030325301.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103523030407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3161311 + ... + 3193889.

It is an arithmetic number, because the mean of its divisors is an integer number (1781352225).

Almost surely, 2^103523030400 is an apocalyptic number.

103523030400 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 103523030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171009813600).

103523030400 is an abundant number, since it is smaller than the sum of its proper divisors (238496596800).

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

103523030400 is a wasteful number, since it uses less digits than its factorization.

103523030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32937 (or 32920 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

Adding to 103523030400 its reverse (4030325301), we get a palindrome (107553355701).

The spelling of 103523030400 in words is "one hundred three billion, five hundred twenty-three million, thirty thousand, four hundred".