10505807 has 16 divisors (see below), whose sum is σ = 11827200. Its totient is φ = 9266400.

The previous prime is 10505797. The next prime is 10505837. The reversal of 10505807 is 70850501.

It is not a de Polignac number, because 10505807 - 2⁴ = 10505791 is a prime.

It is a super-2 number, since 2×10505807² = 220743961442498, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505837) 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 15 ways as a sum of consecutive naturals, for example, 52694 + ... + 52892.

It is an arithmetic number, because the mean of its divisors is an integer number (739200).

Almost surely, 2^10505807 is an apocalyptic number.

10505807 is a deficient number, since it is larger than the sum of its proper divisors (1321393).

10505807 is a wasteful number, since it uses less digits than its factorization.

10505807 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374.

The product of its (nonzero) digits is 1400, while the sum is 26.

The square root of 10505807 is about 3241.2662649033. The cubic root of 10505807 is about 219.0163175987.

The spelling of 10505807 in words is "ten million, five hundred five thousand, eight hundred seven".