10271052 has 72 divisors (see below), whose sum is σ = 29130192. Its totient is φ = 3024000.

The previous prime is 10271021. The next prime is 10271059. The reversal of 10271052 is 25017201.

10271052 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (10271059) 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, 14302 + ... + 15002.

It is an arithmetic number, because the mean of its divisors is an integer number (404586).

Almost surely, 2^10271052 is an apocalyptic number.

10271052 is a gapful number since it is divisible by the number (12) 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 10271052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14565096).

10271052 is an abundant number, since it is smaller than the sum of its proper divisors (18859140).

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

10271052 is a wasteful number, since it uses less digits than its factorization.

10271052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10271052 is about 3204.8482023335. The cubic root of 10271052 is about 217.3726880777.

Adding to 10271052 its reverse (25017201), we get a palindrome (35288253).

The spelling of 10271052 in words is "ten million, two hundred seventy-one thousand, fifty-two".