312100096 has 144 divisors (see below), whose sum is σ = 791175168. Its totient is φ = 119347200.

The previous prime is 312100073. The next prime is 312100097. The reversal of 312100096 is 690001213.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312100097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1399441 + ... + 1399663.

It is an arithmetic number, because the mean of its divisors is an integer number (5494272).

Almost surely, 2^312100096 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 312100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395587584).

312100096 is an abundant number, since it is smaller than the sum of its proper divisors (479075072).

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

312100096 is a wasteful number, since it uses less digits than its factorization.

312100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 312100096 is about 17666.3549154884. The cubic root of 312100096 is about 678.3148121940.

The spelling of 312100096 in words is "three hundred twelve million, one hundred thousand, ninety-six".