10134264 has 64 divisors (see below), whose sum is σ = 29203200. Its totient is φ = 2870784.

The previous prime is 10134259. The next prime is 10134287. The reversal of 10134264 is 46243101.

10134264 is digitally balanced in base 2 and base 8, 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 (21).

10134264 is strictly pandigital in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 10134264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29904 + ... + 30240.

It is an arithmetic number, because the mean of its divisors is an integer number (456300).

Almost surely, 2^10134264 is an apocalyptic number.

10134264 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 10134264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14601600).

10134264 is an abundant number, since it is smaller than the sum of its proper divisors (19068936).

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

10134264 is a wasteful number, since it uses less digits than its factorization.

10134264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10134264 is about 3183.4358796747. The cubic root of 10134264 is about 216.4033956802.

Adding to 10134264 its reverse (46243101), we get a palindrome (56377365).

The spelling of 10134264 in words is "ten million, one hundred thirty-four thousand, two hundred sixty-four".