102777161 has 2 divisors, whose sum is σ = 102777162. Its totient is φ = 102777160.

The previous prime is 102777151. The next prime is 102777167. The reversal of 102777161 is 161777201.

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., 101384761 + 1392400 = 10069^2 + 1180^2 .

It is a cyclic number.

It is not a de Polignac number, because 102777161 - 2⁶ = 102777097 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (102777167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51388580 + 51388581.

It is an arithmetic number, because the mean of its divisors is an integer number (51388581).

Almost surely, 2^102777161 is an apocalyptic number.

It is an amenable number.

102777161 is a deficient number, since it is larger than the sum of its proper divisors (1).

102777161 is an equidigital number, since it uses as much as digits as its factorization.

102777161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4116, while the sum is 32.

The square root of 102777161 is about 10137.9071311588. The cubic root of 102777161 is about 468.4165226128.

The spelling of 102777161 in words is "one hundred two million, seven hundred seventy-seven thousand, one hundred sixty-one".