103211320320 has 264 divisors, whose sum is σ = 359196768216. Its totient is φ = 27402043392.

The previous prime is 103211320301. The next prime is 103211320343. The reversal of 103211320320 is 23023112301.

103211320320 is a `hidden beast` number, since 1 + 0 + 3 + 21 + 1 + 320 + 320 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 25918424064 + 77292896256 = 160992^2 + 278016^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103211320293 and 103211320302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10731834 + ... + 10741446.

It is an arithmetic number, because the mean of its divisors is an integer number (1360593819).

Almost surely, 2^103211320320 is an apocalyptic number.

103211320320 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 103211320320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179598384108).

103211320320 is an abundant number, since it is smaller than the sum of its proper divisors (255985447896).

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

103211320320 is a wasteful number, since it uses less digits than its factorization.

103211320320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9877 (or 9856 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103211320320 its reverse (23023112301), we get a palindrome (126234432621).

The spelling of 103211320320 in words is "one hundred three billion, two hundred eleven million, three hundred twenty thousand, three hundred twenty".