103312322300 has 144 divisors (see below), whose sum is σ = 260020357632. Its totient is φ = 35256249600.

The previous prime is 103312322287. The next prime is 103312322303. The reversal of 103312322300 is 3223213301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312322303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1302377 + ... + 1379423.

It is an arithmetic number, because the mean of its divisors is an integer number (1805696928).

Almost surely, 2^103312322300 is an apocalyptic number.

103312322300 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 103312322300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130010178816).

103312322300 is an abundant number, since it is smaller than the sum of its proper divisors (156708035332).

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

103312322300 is a wasteful number, since it uses less digits than its factorization.

103312322300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77148 (or 77141 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 103312322300 its reverse (3223213301), we get a palindrome (106535535601).

The spelling of 103312322300 in words is "one hundred three billion, three hundred twelve million, three hundred twenty-two thousand, three hundred".