105610977749 has 2 divisors, whose sum is σ = 105610977750. Its totient is φ = 105610977748.

The previous prime is 105610977733. The next prime is 105610977751. The reversal of 105610977749 is 947779016501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81401796100 + 24209181649 = 285310^2 + 155593^2 .

It is a cyclic number.

It is not a de Polignac number, because 105610977749 - 2⁴ = 105610977733 is a prime.

It is a super-2 number, since 2×105610977749² (a number of 23 digits) contains 22 as substring.

Together with 105610977751, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105610977694 and 105610977703.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105610977649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52805488874 + 52805488875.

It is an arithmetic number, because the mean of its divisors is an integer number (52805488875).

Almost surely, 2^105610977749 is an apocalyptic number.

It is an amenable number.

105610977749 is a deficient number, since it is larger than the sum of its proper divisors (1).

105610977749 is an equidigital number, since it uses as much as digits as its factorization.

105610977749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3333960, while the sum is 56.

The spelling of 105610977749 in words is "one hundred five billion, six hundred ten million, nine hundred seventy-seven thousand, seven hundred forty-nine".