113007105 has 12 divisors (see below), whose sum is σ = 195879060. Its totient is φ = 60270432.

The previous prime is 113007071. The next prime is 113007107. The reversal of 113007105 is 501700311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 30869136 + 82137969 = 5556^2 + 9063^2 .

It is not a de Polignac number, because 113007105 - 2¹⁹ = 112482817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113007107) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1255590 + ... + 1255679.

It is an arithmetic number, because the mean of its divisors is an integer number (16323255).

Almost surely, 2^113007105 is an apocalyptic number.

113007105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113007105 is a deficient number, since it is larger than the sum of its proper divisors (82871955).

113007105 is a wasteful number, since it uses less digits than its factorization.

113007105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2511280 (or 2511277 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 113007105 is about 10630.4799985701. The cubic root of 113007105 is about 483.4689451680.

Adding to 113007105 its reverse (501700311), we get a palindrome (614707416).

The spelling of 113007105 in words is "one hundred thirteen million, seven thousand, one hundred five".