10210473 has 54 divisors (see below), whose sum is σ = 18713214. Its totient is φ = 5346432.

The previous prime is 10210463. The next prime is 10210477. The reversal of 10210473 is 37401201.

It can be written as a sum of positive squares in 3 ways, for example, as 21609 + 10188864 = 147^2 + 3192^2 .

It is not a de Polignac number, because 10210473 - 2⁴ = 10210457 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 74461 + ... + 74597.

It is an arithmetic number, because the mean of its divisors is an integer number (346541).

Almost surely, 2^10210473 is an apocalyptic number.

10210473 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10210473 is a deficient number, since it is larger than the sum of its proper divisors (8502741).

10210473 is a wasteful number, since it uses less digits than its factorization.

10210473 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10210473 is about 3195.3830756265. The cubic root of 10210473 is about 216.9444880550.

Adding to 10210473 its reverse (37401201), we get a palindrome (47611674).

The spelling of 10210473 in words is "ten million, two hundred ten thousand, four hundred seventy-three".