10623104 has 32 divisors (see below), whose sum is σ = 21343500. Its totient is φ = 5266432.

The previous prime is 10623103. The next prime is 10623131. The reversal of 10623104 is 40132601.

It can be written as a sum of positive squares in 2 ways, for example, as 8526400 + 2096704 = 2920^2 + 1448^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10623104² = 225700677189632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10623103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18794 + ... + 19350.

Almost surely, 2^10623104 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 10623104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10671750).

10623104 is an abundant number, since it is smaller than the sum of its proper divisors (10720396).

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

10623104 is an equidigital number, since it uses as much as digits as its factorization.

10623104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 10623104 is about 3259.3103565018. The cubic root of 10623104 is about 219.8284061413.

Adding to 10623104 its reverse (40132601), we get a palindrome (50755705).

The spelling of 10623104 in words is "ten million, six hundred twenty-three thousand, one hundred four".