112177105349 has 2 divisors, whose sum is σ = 112177105350. Its totient is φ = 112177105348.

The previous prime is 112177105333. The next prime is 112177105351. The reversal of 112177105349 is 943501771211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 106264264324 + 5912841025 = 325982^2 + 76895^2 .

It is a cyclic number.

It is not a de Polignac number, because 112177105349 - 2⁴ = 112177105333 is a prime.

Together with 112177105351, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (112177105849) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56088552674 + 56088552675.

It is an arithmetic number, because the mean of its divisors is an integer number (56088552675).

Almost surely, 2^112177105349 is an apocalyptic number.

It is an amenable number.

112177105349 is a deficient number, since it is larger than the sum of its proper divisors (1).

112177105349 is an equidigital number, since it uses as much as digits as its factorization.

112177105349 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52920, while the sum is 41.

The spelling of 112177105349 in words is "one hundred twelve billion, one hundred seventy-seven million, one hundred five thousand, three hundred forty-nine".