10845312 has 64 divisors (see below), whose sum is σ = 29343360. Its totient is φ = 3548160.

The previous prime is 10845311. The next prime is 10845313. The reversal of 10845312 is 21354801.

It is an interprime number because it is at equal distance from previous prime (10845311) and next prime (10845313).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10845311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23193 + ... + 23655.

It is an arithmetic number, because the mean of its divisors is an integer number (458490).

Almost surely, 2^10845312 is an apocalyptic number.

10845312 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 10845312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14671680).

10845312 is an abundant number, since it is smaller than the sum of its proper divisors (18498048).

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

10845312 is an equidigital number, since it uses as much as digits as its factorization.

10845312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10845312 is about 3293.2221303763. Note that the first 3 decimals coincide. The cubic root of 10845312 is about 221.3505897741.

The spelling of 10845312 in words is "ten million, eight hundred forty-five thousand, three hundred twelve".