113105821 has 2 divisors, whose sum is σ = 113105822. Its totient is φ = 113105820.

The previous prime is 113105779. The next prime is 113105827. The reversal of 113105821 is 128501311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86211225 + 26894596 = 9285^2 + 5186^2 .

It is an emirp because it is prime and its reverse (128501311) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 113105821 - 2¹¹ = 113103773 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 113105792 and 113105801.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113105827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56552910 + 56552911.

It is an arithmetic number, because the mean of its divisors is an integer number (56552911).

Almost surely, 2^113105821 is an apocalyptic number.

It is an amenable number.

113105821 is a deficient number, since it is larger than the sum of its proper divisors (1).

113105821 is an equidigital number, since it uses as much as digits as its factorization.

113105821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 113105821 is about 10635.1220491351. The cubic root of 113105821 is about 483.6096803612.

The spelling of 113105821 in words is "one hundred thirteen million, one hundred five thousand, eight hundred twenty-one".