113585105 has 8 divisors (see below), whose sum is σ = 137652264. Its totient is φ = 89968000.

The previous prime is 113585081. The next prime is 113585107. The reversal of 113585105 is 501585311.

It can be written as a sum of positive squares in 4 ways, for example, as 42081169 + 71503936 = 6487^2 + 8456^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 113585105 - 2¹⁶ = 113519569 is a prime.

It is a super-2 number, since 2×113585105² = 25803152155722050, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113585107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 111956 + ... + 112965.

It is an arithmetic number, because the mean of its divisors is an integer number (17206533).

Almost surely, 2^113585105 is an apocalyptic number.

It is an amenable number.

113585105 is a deficient number, since it is larger than the sum of its proper divisors (24067159).

113585105 is a wasteful number, since it uses less digits than its factorization.

113585105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225027.

The product of its (nonzero) digits is 3000, while the sum is 29.

The square root of 113585105 is about 10657.6313034370. The cubic root of 113585105 is about 484.2918136992.

The spelling of 113585105 in words is "one hundred thirteen million, five hundred eighty-five thousand, one hundred five".