10045504 has 56 divisors (see below), whose sum is σ = 24140160. Its totient is φ = 4048896.

The previous prime is 10045501. The next prime is 10045507. The reversal of 10045504 is 40554001.

It is an interprime number because it is at equal distance from previous prime (10045501) and next prime (10045507).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10045504² = 201824301228032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10045501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6957 + ... + 8275.

Almost surely, 2^10045504 is an apocalyptic number.

10045504 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 10045504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12070080).

10045504 is an abundant number, since it is smaller than the sum of its proper divisors (14094656).

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

10045504 is a wasteful number, since it uses less digits than its factorization.

10045504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The square root of 10045504 is about 3169.4643080495. The cubic root of 10045504 is about 215.7697592393.

Adding to 10045504 its reverse (40554001), we get a palindrome (50599505).

The spelling of 10045504 in words is "ten million, forty-five thousand, five hundred four".