103312100322 has 64 divisors (see below), whose sum is σ = 237612009600. Its totient is φ = 33234062400.

The previous prime is 103312100261. The next prime is 103312100357. The reversal of 103312100322 is 223001213301.

103312100322 is a `hidden beast` number, since 1 + 0 + 331 + 2 + 10 + 0 + 322 = 666.

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 = 103312100295 and 103312100304.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3535572 + ... + 3564672.

It is an arithmetic number, because the mean of its divisors is an integer number (3712687650).

Almost surely, 2^103312100322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103312100322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118806004800).

103312100322 is an abundant number, since it is smaller than the sum of its proper divisors (134299909278).

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

103312100322 is a wasteful number, since it uses less digits than its factorization.

103312100322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31408 (or 31402 counting only the distinct ones).

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

Adding to 103312100322 its reverse (223001213301), we get a palindrome (326313313623).

The spelling of 103312100322 in words is "one hundred three billion, three hundred twelve million, one hundred thousand, three hundred twenty-two".