312100 has 18 divisors (see below), whose sum is σ = 677474. Its totient is φ = 124800.

The previous prime is 312089. The next prime is 312101. The reversal of 312100 is 1213.

312100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 306916 = 72^2 + 554^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (312101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1461 + ... + 1660.

2³¹²¹⁰⁰ is an apocalyptic number.

It is an amenable number.

312100 is an abundant number, since it is smaller than the sum of its proper divisors (365374).

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

312100 is a wasteful number, since it uses less digits than its factorization.

312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3128 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 312100 is about 558.6591089385. The cubic root of 312100 is about 67.8314742646.

Adding to 312100 its reverse (1213), we get a palindrome (313313).

The spelling of 312100 in words is "three hundred twelve thousand, one hundred", and thus it is an iban number.