312668100 has 126 divisors (see below), whose sum is σ = 1017506490. Its totient is φ = 83358720.

The previous prime is 312668089. The next prime is 312668107. The reversal of 312668100 is 1866213.

It can be written as a sum of positive squares in 3 ways, for example, as 77475204 + 235192896 = 8802^2 + 15336^2 .

It is a super-2 number, since 2×312668100² = 195522681515220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (312668107) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 70756 + ... + 75044.

Almost surely, 2^312668100 is an apocalyptic number.

312668100 is a gapful number since it is divisible by the number (30) 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 312668100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508753245).

312668100 is an abundant number, since it is smaller than the sum of its proper divisors (704838390).

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

312668100 is a wasteful number, since it uses less digits than its factorization.

312668100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4321 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 312668100 is about 17682.4234764356. The cubic root of 312668100 is about 678.7260606312.

The spelling of 312668100 in words is "three hundred twelve million, six hundred sixty-eight thousand, one hundred".