10053120 has 320 divisors, whose sum is σ = 42425856. Its totient is φ = 1966080.

The previous prime is 10053101. The next prime is 10053143. The reversal of 10053120 is 2135001.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 10053096 and 10053105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591352 + ... + 591368.

Almost surely, 2^10053120 is an apocalyptic number.

10053120 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 10053120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21212928).

10053120 is an abundant number, since it is smaller than the sum of its proper divisors (32372736).

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

10053120 is a wasteful number, since it uses less digits than its factorization.

10053120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10053120 is about 3170.6655452759. The cubic root of 10053120 is about 215.8242740873.

Adding to 10053120 its reverse (2135001), we get a palindrome (12188121).

The spelling of 10053120 in words is "ten million, fifty-three thousand, one hundred twenty".