10052064 has 144 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 2868480.

The previous prime is 10052057. The next prime is 10052069. The reversal of 10052064 is 46025001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10052069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60109 + ... + 60275.

It is an arithmetic number, because the mean of its divisors is an integer number (229320).

It is a vampire number, since it can be written as 2004 ⋅ 5016 (with its own digits).

Almost surely, 2^10052064 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 10052064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

10052064 is an abundant number, since it is smaller than the sum of its proper divisors (22970016).

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

10052064 is a wasteful number, since it uses less digits than its factorization.

10052064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10052064 is about 3170.4990143509. The cubic root of 10052064 is about 215.8167169503.

Adding to 10052064 its reverse (46025001), we get a palindrome (56077065).

The spelling of 10052064 in words is "ten million, fifty-two thousand, sixty-four".