106142812777 has 2 divisors, whose sum is σ = 106142812778. Its totient is φ = 106142812776.

The previous prime is 106142812717. The next prime is 106142812819. The reversal of 106142812777 is 777218241601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104032696681 + 2110116096 = 322541^2 + 45936^2 .

It is a cyclic number.

It is not a de Polignac number, because 106142812777 - 2¹¹ = 106142810729 is a prime.

It is a super-2 number, since 2×106142812777² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106142812717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53071406388 + 53071406389.

It is an arithmetic number, because the mean of its divisors is an integer number (53071406389).

Almost surely, 2^106142812777 is an apocalyptic number.

It is an amenable number.

106142812777 is a deficient number, since it is larger than the sum of its proper divisors (1).

106142812777 is an equidigital number, since it uses as much as digits as its factorization.

106142812777 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 263424, while the sum is 46.

The spelling of 106142812777 in words is "one hundred six billion, one hundred forty-two million, eight hundred twelve thousand, seven hundred seventy-seven".