10110105977 has 2 divisors, whose sum is σ = 10110105978. Its totient is φ = 10110105976.

The previous prime is 10110105961. The next prime is 10110105983. The reversal of 10110105977 is 77950101101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9035643136 + 1074462841 = 95056^2 + 32779^2 .

It is an emirp because it is prime and its reverse (77950101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10110105977 - 2⁴ = 10110105961 is a prime.

It is a super-2 number, since 2×10110105977² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10110105917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055052988 + 5055052989.

It is an arithmetic number, because the mean of its divisors is an integer number (5055052989).

Almost surely, 2^10110105977 is an apocalyptic number.

It is an amenable number.

10110105977 is a deficient number, since it is larger than the sum of its proper divisors (1).

10110105977 is an equidigital number, since it uses as much as digits as its factorization.

10110105977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2205, while the sum is 32.

The spelling of 10110105977 in words is "ten billion, one hundred ten million, one hundred five thousand, nine hundred seventy-seven".