10056312 has 96 divisors (see below), whose sum is σ = 32323200. Its totient is φ = 2869344.

The previous prime is 10056311. The next prime is 10056323. The reversal of 10056312 is 21365001.

10056312 is a `hidden beast` number, since 100 + 563 + 1 + 2 = 666.

10056312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10056312² = 202258822082688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10056311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13239 + ... + 13977.

It is an arithmetic number, because the mean of its divisors is an integer number (336700).

Almost surely, 2^10056312 is an apocalyptic number.

10056312 is a gapful number since it is divisible by the number (12) 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 10056312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16161600).

10056312 is an abundant number, since it is smaller than the sum of its proper divisors (22266888).

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

10056312 is an equidigital number, since it uses as much as digits as its factorization.

10056312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10056312 is about 3171.1688696757. The cubic root of 10056312 is about 215.8471140342.

The spelling of 10056312 in words is "ten million, fifty-six thousand, three hundred twelve".