10361120 has 144 divisors (see below), whose sum is σ = 31606848. Its totient is φ = 3118080.

The previous prime is 10361119. The next prime is 10361123. The reversal of 10361120 is 2116301.

It is a super-3 number, since 3×10361120³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 10361095 and 10361104.

It is not an unprimeable number, because it can be changed into a prime (10361123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357266 + ... + 357294.

It is an arithmetic number, because the mean of its divisors is an integer number (219492).

Almost surely, 2^10361120 is an apocalyptic number.

10361120 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 10361120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15803424).

10361120 is an abundant number, since it is smaller than the sum of its proper divisors (21245728).

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

10361120 is a wasteful number, since it uses less digits than its factorization.

10361120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 10361120 is about 3218.8693667187. The cubic root of 10361120 is about 218.0062282540.

Adding to 10361120 its reverse (2116301), we get a palindrome (12477421).

The spelling of 10361120 in words is "ten million, three hundred sixty-one thousand, one hundred twenty".