10038905 has 8 divisors (see below), whose sum is σ = 12078600. Its totient is φ = 8009856.

The previous prime is 10038883. The next prime is 10038907. The reversal of 10038905 is 50983001.

It can be written as a sum of positive squares in 4 ways, for example, as 6310144 + 3728761 = 2512^2 + 1931^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10038905 - 2⁶ = 10038841 is a prime.

It is a super-2 number, since 2×10038905² = 201559227198050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10038907) 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 7 ways as a sum of consecutive naturals, for example, 410 + ... + 4499.

It is an arithmetic number, because the mean of its divisors is an integer number (1509825).

Almost surely, 2^10038905 is an apocalyptic number.

It is an amenable number.

10038905 is a deficient number, since it is larger than the sum of its proper divisors (2039695).

10038905 is an equidigital number, since it uses as much as digits as its factorization.

10038905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5323.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 10038905 is about 3168.4231093716. The cubic root of 10038905 is about 215.7225017285.

The spelling of 10038905 in words is "ten million, thirty-eight thousand, nine hundred five".