105683293 has 12 divisors (see below), whose sum is σ = 110089308. Its totient is φ = 101424960.

The previous prime is 105683273. The next prime is 105683297. The reversal of 105683293 is 392386501.

It can be written as a sum of positive squares in 2 ways, for example, as 4439449 + 101243844 = 2107^2 + 10062^2 .

It is not a de Polignac number, because 105683293 - 2⁵ = 105683261 is a prime.

It is a super-2 number, since 2×105683293² = 22337916838647698, 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 (105683297) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112321 + ... + 113257.

It is an arithmetic number, because the mean of its divisors is an integer number (9174109).

Almost surely, 2^105683293 is an apocalyptic number.

It is an amenable number.

105683293 is a deficient number, since it is larger than the sum of its proper divisors (4406015).

105683293 is an frugal number, since it uses more digits than its factorization.

105683293 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1084 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 105683293 is about 10280.2379836266. The cubic root of 105683293 is about 472.7905408675.

It can be divided in two parts, 10568 and 3293, that added together give a triangular number (13861 = T₁₆₆).

The spelling of 105683293 in words is "one hundred five million, six hundred eighty-three thousand, two hundred ninety-three".