10253120 has 42 divisors (see below), whose sum is σ = 24552402. Its totient is φ = 4078336.

The previous prime is 10253053. The next prime is 10253149. The reversal of 10253120 is 2135201.

10253120 = T₂₄₅ + T₂₄₆ + ... + T₄₂₃.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8202496 + 2050624 = 2864^2 + 1432^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10253095 and 10253104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 57191 + ... + 57369.

It is an arithmetic number, because the mean of its divisors is an integer number (584581).

Almost surely, 2^10253120 is an apocalyptic number.

10253120 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 10253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276201).

10253120 is an abundant number, since it is smaller than the sum of its proper divisors (14299282).

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

10253120 is an frugal number, since it uses more digits than its factorization.

10253120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 186 counting only the distinct ones).

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

The square root of 10253120 is about 3202.0493437797. The cubic root of 10253120 is about 217.2461123488.

Adding to 10253120 its reverse (2135201), we get a palindrome (12388321).

The spelling of 10253120 in words is "ten million, two hundred fifty-three thousand, one hundred twenty".