10204264 has 32 divisors (see below), whose sum is σ = 22337280. Its totient is φ = 4279104.

The previous prime is 10204261. The next prime is 10204283. The reversal of 10204264 is 46240201.

10204264 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

10204264 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (10204261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 694 + ... + 4570.

It is an arithmetic number, because the mean of its divisors is an integer number (698040).

Almost surely, 2^10204264 is an apocalyptic number.

10204264 is a gapful number since it is divisible by the number (14) 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 10204264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11168640).

10204264 is an abundant number, since it is smaller than the sum of its proper divisors (12133016).

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

10204264 is a wasteful number, since it uses less digits than its factorization.

10204264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3937 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 10204264 is about 3194.4113698771. The cubic root of 10204264 is about 216.9005044100.

Adding to 10204264 its reverse (46240201), we get a palindrome (56444465).

The spelling of 10204264 in words is "ten million, two hundred four thousand, two hundred sixty-four".