10505853 has 6 divisors (see below), whose sum is σ = 15175134. Its totient is φ = 7003896.

The previous prime is 10505851. The next prime is 10505893. The reversal of 10505853 is 35850501.

10505853 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 7112889 + 3392964 = 2667^2 + 1842^2 .

It is not a de Polignac number, because 10505853 - 2¹ = 10505851 is a prime.

It is a super-2 number, since 2×10505853² = 220745894515218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505851) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 583650 + ... + 583667.

It is an arithmetic number, because the mean of its divisors is an integer number (2529189).

Almost surely, 2^10505853 is an apocalyptic number.

It is an amenable number.

10505853 is a deficient number, since it is larger than the sum of its proper divisors (4669281).

10505853 is a wasteful number, since it uses less digits than its factorization.

10505853 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167323 (or 1167320 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 10505853 is about 3241.2733608877. The cubic root of 10505853 is about 219.0166372548.

It can be divided in two parts, 105058 and 53, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 10505853 in words is "ten million, five hundred five thousand, eight hundred fifty-three".