113105749 has 2 divisors, whose sum is σ = 113105750. Its totient is φ = 113105748.

The previous prime is 113105747. The next prime is 113105753. The reversal of 113105749 is 947501311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94770225 + 18335524 = 9735^2 + 4282^2 .

It is a cyclic number.

It is not a de Polignac number, because 113105749 - 2¹ = 113105747 is a prime.

Together with 113105747, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 113105749.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113105747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56552874 + 56552875.

It is an arithmetic number, because the mean of its divisors is an integer number (56552875).

Almost surely, 2^113105749 is an apocalyptic number.

It is an amenable number.

113105749 is a deficient number, since it is larger than the sum of its proper divisors (1).

113105749 is an equidigital number, since it uses as much as digits as its factorization.

113105749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 31.

The square root of 113105749 is about 10635.1186641241. The cubic root of 113105749 is about 483.6095777438.

The spelling of 113105749 in words is "one hundred thirteen million, one hundred five thousand, seven hundred forty-nine".