10134624 has 48 divisors (see below), whose sum is σ = 26777520. Its totient is φ = 3356160.

The previous prime is 10134589. The next prime is 10134637. The reversal of 10134624 is 42643101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 10134624.

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, 21754 + ... + 22214.

It is an arithmetic number, because the mean of its divisors is an integer number (557865).

Almost surely, 2^10134624 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 10134624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13388760).

10134624 is an abundant number, since it is smaller than the sum of its proper divisors (16642896).

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

10134624 is a wasteful number, since it uses less digits than its factorization.

10134624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 695 counting only the distinct ones).

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

The square root of 10134624 is about 3183.4924218537. The cubic root of 10134624 is about 216.4059580863.

Adding to 10134624 its reverse (42643101), we get a palindrome (52777725).

The spelling of 10134624 in words is "ten million, one hundred thirty-four thousand, six hundred twenty-four".