2106777601 has 2 divisors, whose sum is σ = 2106777602. Its totient is φ = 2106777600.

The previous prime is 2106777583. The next prime is 2106777619. The reversal of 2106777601 is 1067776012.

It is a balanced prime because it is at equal distance from previous prime (2106777583) and next prime (2106777619).

It can be written as a sum of positive squares in only one way, i.e., 2102681025 + 4096576 = 45855^2 + 2024^2 .

It is a cyclic number.

It is not a de Polignac number, because 2106777601 - 2⁹ = 2106777089 is a prime.

It is not a weakly prime, because it can be changed into another prime (2106777641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1053388800 + 1053388801.

It is an arithmetic number, because the mean of its divisors is an integer number (1053388801).

Almost surely, 2^2106777601 is an apocalyptic number.

It is an amenable number.

2106777601 is a deficient number, since it is larger than the sum of its proper divisors (1).

2106777601 is an equidigital number, since it uses as much as digits as its factorization.

2106777601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24696, while the sum is 37.

The square root of 2106777601 is about 45899.6470683599. The cubic root of 2106777601 is about 1281.9553450048.

The spelling of 2106777601 in words is "two billion, one hundred six million, seven hundred seventy-seven thousand, six hundred one".