113765105 has 8 divisors (see below), whose sum is σ = 144548712. Its totient is φ = 85658368.

The previous prime is 113765059. The next prime is 113765117. The reversal of 113765105 is 501567311.

It can be written as a sum of positive squares in 4 ways, for example, as 38353249 + 75411856 = 6193^2 + 8684^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 113765105 - 2¹⁴ = 113748721 is a prime.

It is a super-2 number, since 2×113765105² = 25884998231322050, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 669122 + ... + 669291.

It is an arithmetic number, because the mean of its divisors is an integer number (18068589).

Almost surely, 2^113765105 is an apocalyptic number.

It is an amenable number.

113765105 is a deficient number, since it is larger than the sum of its proper divisors (30783607).

113765105 is a wasteful number, since it uses less digits than its factorization.

113765105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338435.

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 113765105 is about 10666.0726136662. The cubic root of 113765105 is about 484.5475001559.

The spelling of 113765105 in words is "one hundred thirteen million, seven hundred sixty-five thousand, one hundred five".