10361152 has 28 divisors (see below), whose sum is σ = 20784820. Its totient is φ = 5124096.

The previous prime is 10361123. The next prime is 10361159. The reversal of 10361152 is 25116301.

It can be written as a sum of positive squares in 2 ways, for example, as 5089536 + 5271616 = 2256^2 + 2296^2 .

It is a super-3 number, since 3×10361152³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10361159) 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, 5374 + ... + 7042.

It is an arithmetic number, because the mean of its divisors is an integer number (742315).

Almost surely, 2^10361152 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 10361152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10392410).

10361152 is an abundant number, since it is smaller than the sum of its proper divisors (10423668).

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

10361152 is an equidigital number, since it uses as much as digits as its factorization.

10361152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 10361152 is about 3218.8743374043. The cubic root of 10361152 is about 218.0064526890.

Adding to 10361152 its reverse (25116301), we get a palindrome (35477453).

The spelling of 10361152 in words is "ten million, three hundred sixty-one thousand, one hundred fifty-two".