105384853 has 16 divisors (see below), whose sum is σ = 128286720. Its totient is φ = 84508416.

The previous prime is 105384833. The next prime is 105384859. The reversal of 105384853 is 358483501.

It is a cyclic number.

It is not a de Polignac number, because 105384853 - 2¹⁷ = 105253781 is a prime.

It is a super-2 number, since 2×105384853² = 22211934483663218, 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 (105384859) 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, 18028 + ... + 23146.

It is an arithmetic number, because the mean of its divisors is an integer number (8017920).

Almost surely, 2^105384853 is an apocalyptic number.

It is an amenable number.

105384853 is a deficient number, since it is larger than the sum of its proper divisors (22901867).

105384853 is a wasteful number, since it uses less digits than its factorization.

105384853 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316.

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 105384853 is about 10265.7124935389. The cubic root of 105384853 is about 472.3450821412.

The spelling of 105384853 in words is "one hundred five million, three hundred eighty-four thousand, eight hundred fifty-three".