113535105 has 16 divisors (see below), whose sum is σ = 183531264. Its totient is φ = 59927040.

The previous prime is 113535077. The next prime is 113535131. The reversal of 113535105 is 501535311.

It is not a de Polignac number, because 113535105 - 2⁵ = 113535073 is a prime.

It is a super-2 number, since 2×113535105² = 25780440134722050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37561 + ... + 40470.

It is an arithmetic number, because the mean of its divisors is an integer number (11470704).

Almost surely, 2^113535105 is an apocalyptic number.

113535105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113535105 is a deficient number, since it is larger than the sum of its proper divisors (69996159).

113535105 is an equidigital number, since it uses as much as digits as its factorization.

113535105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78136.

The product of its (nonzero) digits is 1125, while the sum is 24.

The square root of 113535105 is about 10655.2853082402. The cubic root of 113535105 is about 484.2207417494.

The spelling of 113535105 in words is "one hundred thirteen million, five hundred thirty-five thousand, one hundred five".