10212832905 has 64 divisors (see below), whose sum is σ = 18018201600. Its totient is φ = 4898592000.

The previous prime is 10212832873. The next prime is 10212832921. The reversal of 10212832905 is 50923821201.

It is a happy number.

10212832905 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10212832905 - 2⁵ = 10212832873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7299396 + ... + 7300794.

It is an arithmetic number, because the mean of its divisors is an integer number (281534400).

Almost surely, 2^10212832905 is an apocalyptic number.

10212832905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10212832905 is a deficient number, since it is larger than the sum of its proper divisors (7805368695).

10212832905 is a wasteful number, since it uses less digits than its factorization.

10212832905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1862.

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 10212832905 in words is "ten billion, two hundred twelve million, eight hundred thirty-two thousand, nine hundred five".