106105000077 has 6 divisors (see below), whose sum is σ = 153262777902. Its totient is φ = 70736666712.

The previous prime is 106105000073. The next prime is 106105000117. The reversal of 106105000077 is 770000501601.

It can be written as a sum of positive squares in only one way, i.e., 105907288356 + 197711721 = 325434^2 + 14061^2 .

It is not a de Polignac number, because 106105000077 - 2² = 106105000073 is a prime.

It is a super-2 number, since 2×106105000077² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106105000077.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105000073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5894722218 + ... + 5894722235.

It is an arithmetic number, because the mean of its divisors is an integer number (25543796317).

Almost surely, 2^106105000077 is an apocalyptic number.

It is an amenable number.

106105000077 is a deficient number, since it is larger than the sum of its proper divisors (47157777825).

106105000077 is a wasteful number, since it uses less digits than its factorization.

106105000077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11789444459 (or 11789444456 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

Adding to 106105000077 its reverse (770000501601), we get a palindrome (876105501678).

The spelling of 106105000077 in words is "one hundred six billion, one hundred five million, seventy-seven", and thus it is an aban number.