103210031200 has 72 divisors (see below), whose sum is σ = 252210263760. Its totient is φ = 41243251200.

The previous prime is 103210031161. The next prime is 103210031261. The reversal of 103210031200 is 2130012301.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 753621 + ... + 879979.

It is an arithmetic number, because the mean of its divisors is an integer number (3502920330).

Almost surely, 2^103210031200 is an apocalyptic number.

103210031200 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 103210031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126105131880).

103210031200 is an abundant number, since it is smaller than the sum of its proper divisors (149000232560).

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

103210031200 is a wasteful number, since it uses less digits than its factorization.

103210031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127400 (or 127387 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 103210031200 its reverse (2130012301), we get a palindrome (105340043501).

The spelling of 103210031200 in words is "one hundred three billion, two hundred ten million, thirty-one thousand, two hundred".