105685293 has 16 divisors (see below), whose sum is σ = 166240256. Its totient is φ = 58443120.

The previous prime is 105685267. The next prime is 105685297. The reversal of 105685293 is 392586501.

It is not a de Polignac number, because 105685293 - 2¹⁶ = 105619757 is a prime.

It is a super-2 number, since 2×105685293² = 22338762312991698, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105685297) 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, 80521 + ... + 81822.

It is an arithmetic number, because the mean of its divisors is an integer number (10390016).

Almost surely, 2^105685293 is an apocalyptic number.

It is an amenable number.

105685293 is a deficient number, since it is larger than the sum of its proper divisors (60554963).

105685293 is a wasteful number, since it uses less digits than its factorization.

105685293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162384.

The product of its (nonzero) digits is 64800, while the sum is 39.

The square root of 105685293 is about 10280.3352571791. The cubic root of 105685293 is about 472.7935232850.

The spelling of 105685293 in words is "one hundred five million, six hundred eighty-five thousand, two hundred ninety-three".