10900305 has 32 divisors (see below), whose sum is σ = 20872320. Its totient is φ = 5365440.

The previous prime is 10900303. The next prime is 10900369. The reversal of 10900305 is 50300901.

It is not a de Polignac number, because 10900305 - 2¹ = 10900303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10900303) 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 31 ways as a sum of consecutive naturals, for example, 1351 + ... + 4860.

It is an arithmetic number, because the mean of its divisors is an integer number (652260).

Almost surely, 2^10900305 is an apocalyptic number.

10900305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10900305 is a deficient number, since it is larger than the sum of its proper divisors (9972015).

10900305 is a wasteful number, since it uses less digits than its factorization.

10900305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6238 (or 6232 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 10900305 is about 3301.5609944388. The cubic root of 10900305 is about 221.7240911268.

The spelling of 10900305 in words is "ten million, nine hundred thousand, three hundred five".