10209312 has 36 divisors (see below), whose sum is σ = 29033550. Its totient is φ = 3403008.

The previous prime is 10209307. The next prime is 10209313. The reversal of 10209312 is 21390201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9217296 + 992016 = 3036^2 + 996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (10209313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17437 + ... + 18012.

Almost surely, 2^10209312 is an apocalyptic number.

10209312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10209312 is an abundant number, since it is smaller than the sum of its proper divisors (18824238).

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

10209312 is a wasteful number, since it uses less digits than its factorization.

10209312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35465 (or 35454 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10209312 is about 3195.2014021028. The cubic root of 10209312 is about 216.9362650570.

Adding to 10209312 its reverse (21390201), we get a palindrome (31599513).

The spelling of 10209312 in words is "ten million, two hundred nine thousand, three hundred twelve".