10133024 has 36 divisors (see below), whose sum is σ = 21936222. Its totient is φ = 4604160.

The previous prime is 10132999. The next prime is 10133029. The reversal of 10133024 is 42033101.

It can be written as a sum of positive squares in only one way, i.e., 5856400 + 4276624 = 2420^2 + 2068^2 .

It is not an unprimeable number, because it can be changed into a prime (10133029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2564 + ... + 5180.

Almost surely, 2^10133024 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 10133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968111).

10133024 is an abundant number, since it is smaller than the sum of its proper divisors (11803198).

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

10133024 is a wasteful number, since it uses less digits than its factorization.

10133024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2649 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 10133024 is about 3183.2411155927. The cubic root of 10133024 is about 216.3945691502.

Adding to 10133024 its reverse (42033101), we get a palindrome (52166125).

The spelling of 10133024 in words is "ten million, one hundred thirty-three thousand, twenty-four".