10362112 has 36 divisors (see below), whose sum is σ = 21909636. Its totient is φ = 4874240.

The previous prime is 10362089. The next prime is 10362113. The reversal of 10362112 is 21126301.

It can be written as a sum of positive squares in 2 ways, for example, as 2876416 + 7485696 = 1696^2 + 2736^2 .

It is a super-3 number, since 3×10362112³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10362113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3162 + ... + 5542.

It is an arithmetic number, because the mean of its divisors is an integer number (608601).

Almost surely, 2^10362112 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 10362112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10954818).

10362112 is an abundant number, since it is smaller than the sum of its proper divisors (11547524).

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

10362112 is an equidigital number, since it uses as much as digits as its factorization.

10362112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2414 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 10362112 is about 3219.0234544035. The cubic root of 10362112 is about 218.0131855224.

Adding to 10362112 its reverse (21126301), we get a palindrome (31488413).

The spelling of 10362112 in words is "ten million, three hundred sixty-two thousand, one hundred twelve".