10235120 has 80 divisors (see below), whose sum is σ = 27825600. Its totient is φ = 3499776.

The previous prime is 10235119. The next prime is 10235131. The reversal of 10235120 is 2153201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 10235095 and 10235104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27254 + ... + 27626.

It is an arithmetic number, because the mean of its divisors is an integer number (347820).

Almost surely, 2^10235120 is an apocalyptic number.

10235120 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 10235120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13912800).

10235120 is an abundant number, since it is smaller than the sum of its proper divisors (17590480).

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

10235120 is an equidigital number, since it uses as much as digits as its factorization.

10235120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10235120 is about 3199.2374091336. The cubic root of 10235120 is about 217.1189081225.

Adding to 10235120 its reverse (2153201), we get a palindrome (12388321).

The spelling of 10235120 in words is "ten million, two hundred thirty-five thousand, one hundred twenty".