10536120 has 192 divisors, whose sum is σ = 40547520. Its totient is φ = 2322432.

The previous prime is 10536109. The next prime is 10536121. The reversal of 10536120 is 2163501.

10536120 is a `hidden beast` number, since 1 + 0 + 53 + 612 + 0 = 666.

It is a super-2 number, since 2×10536120² = 222019649308800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10536093 and 10536102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10536121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93184 + ... + 93296.

It is an arithmetic number, because the mean of its divisors is an integer number (211185).

Almost surely, 2^10536120 is an apocalyptic number.

10536120 is a gapful number since it is divisible by the number (10) 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 10536120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20273760).

10536120 is an abundant number, since it is smaller than the sum of its proper divisors (30011400).

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

10536120 is a wasteful number, since it uses less digits than its factorization.

10536120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 167 counting only the distinct ones).

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

The square root of 10536120 is about 3245.9390012753. The cubic root of 10536120 is about 219.2267620547.

Adding to 10536120 its reverse (2163501), we get a palindrome (12699621).

It can be divided in two parts, 10 and 536120, that added together give a triangular number (536130 = T₁₀₃₅).

The spelling of 10536120 in words is "ten million, five hundred thirty-six thousand, one hundred twenty".