10012905 has 72 divisors (see below), whose sum is σ = 21340800. Its totient is φ = 4318272.

The previous prime is 10012901. The next prime is 10012913. The reversal of 10012905 is 50921001.

It is not a de Polignac number, because 10012905 - 2² = 10012901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41776 + ... + 42014.

It is an arithmetic number, because the mean of its divisors is an integer number (296400).

Almost surely, 2^10012905 is an apocalyptic number.

10012905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10012905 is an abundant number, since it is smaller than the sum of its proper divisors (11327895).

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

10012905 is a wasteful number, since it uses less digits than its factorization.

10012905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10012905 is about 3164.3174619497. The cubic root of 10012905 is about 215.5361057643.

Adding to 10012905 its reverse (50921001), we get a palindrome (60933906).

The spelling of 10012905 in words is "ten million, twelve thousand, nine hundred five".