103213234400 has 72 divisors (see below), whose sum is σ = 252306288864. Its totient is φ = 41230080000.

The previous prime is 103213234381. The next prime is 103213234403. The reversal of 103213234400 is 4432312301.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103213234403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 514904 + ... + 686696.

It is an arithmetic number, because the mean of its divisors is an integer number (3504254012).

Almost surely, 2^103213234400 is an apocalyptic number.

103213234400 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 103213234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126153144432).

103213234400 is an abundant number, since it is smaller than the sum of its proper divisors (149093054464).

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

103213234400 is a wasteful number, since it uses less digits than its factorization.

103213234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172564 (or 172551 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 103213234400 its reverse (4432312301), we get a palindrome (107645546701).

The spelling of 103213234400 in words is "one hundred three billion, two hundred thirteen million, two hundred thirty-four thousand, four hundred".