10006045 has 12 divisors (see below), whose sum is σ = 13967964. Its totient is φ = 6861120.

The previous prime is 10006043. The next prime is 10006063. The reversal of 10006045 is 54060001.

10006045 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 can be written as a sum of positive squares in 2 ways, for example, as 6744409 + 3261636 = 2597^2 + 1806^2 .

It is not a de Polignac number, because 10006045 - 2¹ = 10006043 is a prime.

It is a Duffinian number.

10006045 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006043) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20176 + ... + 20665.

It is an arithmetic number, because the mean of its divisors is an integer number (1163997).

Almost surely, 2^10006045 is an apocalyptic number.

It is an amenable number.

10006045 is a deficient number, since it is larger than the sum of its proper divisors (3961919).

10006045 is an equidigital number, since it uses as much as digits as its factorization.

10006045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40860 (or 40853 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 10006045 is about 3163.2333141898. The cubic root of 10006045 is about 215.4868721176.

Adding to 10006045 its reverse (54060001), we get a palindrome (64066046).

The spelling of 10006045 in words is "ten million, six thousand, forty-five".