10005476 has 54 divisors (see below), whose sum is σ = 20498562. Its totient is φ = 4268160.

The previous prime is 10005473. The next prime is 10005487. The reversal of 10005476 is 67450001.

10005476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 763876 + 9241600 = 874^2 + 3040^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005473) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 244016 + ... + 244056.

It is an arithmetic number, because the mean of its divisors is an integer number (379603).

Almost surely, 2^10005476 is an apocalyptic number.

It is an amenable number.

10005476 is an abundant number, since it is smaller than the sum of its proper divisors (10493086).

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

10005476 is a wasteful number, since it uses less digits than its factorization.

10005476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 10005476 is about 3163.1433732918. The cubic root of 10005476 is about 215.4827874417.

Adding to 10005476 its reverse (67450001), we get a palindrome (77455477).

The spelling of 10005476 in words is "ten million, five thousand, four hundred seventy-six".