100321312 has 96 divisors (see below), whose sum is σ = 248596992. Its totient is φ = 38790144.

The previous prime is 100321303. The next prime is 100321327. The reversal of 100321312 is 213123001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100321292 and 100321301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136498 + ... + 137230.

It is an arithmetic number, because the mean of its divisors is an integer number (2589552).

Almost surely, 2^100321312 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 100321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124298496).

100321312 is an abundant number, since it is smaller than the sum of its proper divisors (148275680).

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

100321312 is a wasteful number, since it uses less digits than its factorization.

100321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 802 counting only the distinct ones).

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

The square root of 100321312 is about 10016.0527155162. The cubic root of 100321312 is about 464.6554845911.

Adding to 100321312 its reverse (213123001), we get a palindrome (313444313).

The spelling of 100321312 in words is "one hundred million, three hundred twenty-one thousand, three hundred twelve".