10189824 has 88 divisors (see below), whose sum is σ = 28297728. Its totient is φ = 3256320.

The previous prime is 10189819. The next prime is 10189841. The reversal of 10189824 is 42898101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95179 + ... + 95285.

Almost surely, 2^10189824 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 10189824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14148864).

10189824 is an abundant number, since it is smaller than the sum of its proper divisors (18107904).

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

10189824 is a wasteful number, since it uses less digits than its factorization.

10189824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 10189824 is about 3192.1503723979. The cubic root of 10189824 is about 216.7981445265.

The spelling of 10189824 in words is "ten million, one hundred eighty-nine thousand, eight hundred twenty-four".