113202405 has 24 divisors (see below), whose sum is σ = 207761112. Its totient is φ = 56822784.

The previous prime is 113202379. The next prime is 113202407. The reversal of 113202405 is 504202311.

It can be written as a sum of positive squares in 4 ways, for example, as 11716929 + 101485476 = 3423^2 + 10074^2 .

It is not a de Polignac number, because 113202405 - 2²² = 109008101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113202407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73224 + ... + 74753.

It is an arithmetic number, because the mean of its divisors is an integer number (8656713).

Almost surely, 2^113202405 is an apocalyptic number.

113202405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113202405 is a deficient number, since it is larger than the sum of its proper divisors (94558707).

113202405 is a wasteful number, since it uses less digits than its factorization.

113202405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148005 (or 148002 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 113202405 is about 10639.6618837254. The cubic root of 113202405 is about 483.7472968220.

Adding to 113202405 its reverse (504202311), we get a palindrome (617404716).

The spelling of 113202405 in words is "one hundred thirteen million, two hundred two thousand, four hundred five".