321400100 has 72 divisors (see below), whose sum is σ = 814114560. Its totient is φ = 107838720.

The previous prime is 321400099. The next prime is 321400117. The reversal of 321400100 is 1004123.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28016 + ... + 37784.

Almost surely, 2^321400100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 321400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407057280).

321400100 is an abundant number, since it is smaller than the sum of its proper divisors (492714460).

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

321400100 is a wasteful number, since it uses less digits than its factorization.

321400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9837 (or 9830 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 321400100 is about 17927.6350922256. The cubic root of 321400100 is about 684.9864845398.

Adding to 321400100 its reverse (1004123), we get a palindrome (322404223).

The spelling of 321400100 in words is "three hundred twenty-one million, four hundred thousand, one hundred".