10053024 has 96 divisors (see below), whose sum is σ = 28667520. Its totient is φ = 3075072.

The previous prime is 10053023. The next prime is 10053031. The reversal of 10053024 is 42035001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10052994 and 10053012.

It is not an unprimeable number, because it can be changed into a prime (10053023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63954 + ... + 64110.

It is an arithmetic number, because the mean of its divisors is an integer number (298620).

Almost surely, 2^10053024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10053024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14333760).

10053024 is an abundant number, since it is smaller than the sum of its proper divisors (18614496).

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

10053024 is a wasteful number, since it uses less digits than its factorization.

10053024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 10053024 is about 3170.6504064624. The cubic root of 10053024 is about 215.8235870967.

Adding to 10053024 its reverse (42035001), we get a palindrome (52088025).

The spelling of 10053024 in words is "ten million, fifty-three thousand, twenty-four".