113123205 has 24 divisors (see below), whose sum is σ = 211164408. Its totient is φ = 55691136.

The previous prime is 113123201. The next prime is 113123221. The reversal of 113123205 is 502321311.

It can be written as a sum of positive squares in 4 ways, for example, as 720801 + 112402404 = 849^2 + 10602^2 .

It is not a de Polignac number, because 113123205 - 2² = 113123201 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113123201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96102 + ... + 97271.

It is an arithmetic number, because the mean of its divisors is an integer number (8798517).

Almost surely, 2^113123205 is an apocalyptic number.

113123205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113123205 is a deficient number, since it is larger than the sum of its proper divisors (98041203).

113123205 is a wasteful number, since it uses less digits than its factorization.

113123205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193397 (or 193394 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113123205 is about 10635.9393097178. The cubic root of 113123205 is about 483.6344555082.

Adding to 113123205 its reverse (502321311), we get a palindrome (615444516).

It can be divided in two parts, 1131 and 23205, that added together give a square (24336 = 156²).

The spelling of 113123205 in words is "one hundred thirteen million, one hundred twenty-three thousand, two hundred five".