105061106060077 has 2 divisors, whose sum is σ = 105061106060078. Its totient is φ = 105061106060076.

The previous prime is 105061106060047. The next prime is 105061106060093. The reversal of 105061106060077 is 770060601160501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 71701367487556 + 33359738572521 = 8467666^2 + 5775789^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105061106060077 is a prime.

It is a super-2 number, since 2×105061106060077² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105061106060047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52530553030038 + 52530553030039.

It is an arithmetic number, because the mean of its divisors is an integer number (52530553030039).

Almost surely, 2^{105061106060077} is an apocalyptic number.

It is an amenable number.

105061106060077 is a deficient number, since it is larger than the sum of its proper divisors (1).

105061106060077 is an equidigital number, since it uses as much as digits as its factorization.

105061106060077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52920, while the sum is 40.

The spelling of 105061106060077 in words is "one hundred five trillion, sixty-one billion, one hundred six million, sixty thousand, seventy-seven".