10505727 has 16 divisors (see below), whose sum is σ = 16384000. Its totient is φ = 6634872.

The previous prime is 10505707. The next prime is 10505731. The reversal of 10505727 is 72750501.

It is not a de Polignac number, because 10505727 - 2¹¹ = 10503679 is a prime.

It is a super-2 number, since 2×10505727² = 220740599597058, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10505727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505707) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9727 + ... + 10752.

It is an arithmetic number, because the mean of its divisors is an integer number (1024000).

Almost surely, 2^10505727 is an apocalyptic number.

10505727 is a deficient number, since it is larger than the sum of its proper divisors (5878273).

10505727 is a wasteful number, since it uses less digits than its factorization.

10505727 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20507 (or 20501 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 10505727 is about 3241.2539240238. The cubic root of 10505727 is about 219.0157616729.

The spelling of 10505727 in words is "ten million, five hundred five thousand, seven hundred twenty-seven".