10012405 has 36 divisors (see below), whose sum is σ = 14157612. Its totient is φ = 6789120.

The previous prime is 10012403. The next prime is 10012417. The reversal of 10012405 is 50421001.

10012405 is digitally balanced in base 3, 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 18 ways, for example, as 8916196 + 1096209 = 2986^2 + 1047^2 .

It is not a de Polignac number, because 10012405 - 2¹ = 10012403 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012403) 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 35 ways as a sum of consecutive naturals, for example, 244185 + ... + 244225.

It is an arithmetic number, because the mean of its divisors is an integer number (393267).

Almost surely, 2^10012405 is an apocalyptic number.

It is an amenable number.

10012405 is a deficient number, since it is larger than the sum of its proper divisors (4145207).

10012405 is a wasteful number, since it uses less digits than its factorization.

10012405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 10012405 is about 3164.2384549841. The cubic root of 10012405 is about 215.5325180660.

Adding to 10012405 its reverse (50421001), we get a palindrome (60433406).

The spelling of 10012405 in words is "ten million, twelve thousand, four hundred five".