106000111077 has 12 divisors (see below), whose sum is σ = 164408335776. Its totient is φ = 60571491960.

The previous prime is 106000111057. The next prime is 106000111099. The reversal of 106000111077 is 770111000601.

It is not a de Polignac number, because 106000111077 - 2¹⁰ = 106000110053 is a prime.

It is a super-2 number, since 2×106000111077² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106000111057) 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 in 11 ways as a sum of consecutive naturals, for example, 360544449 + ... + 360544742.

It is an arithmetic number, because the mean of its divisors is an integer number (13700694648).

Almost surely, 2^106000111077 is an apocalyptic number.

It is an amenable number.

106000111077 is a deficient number, since it is larger than the sum of its proper divisors (58408224699).

106000111077 is an equidigital number, since it uses as much as digits as its factorization.

106000111077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721089208 (or 721089201 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 24.

Adding to 106000111077 its reverse (770111000601), we get a palindrome (876111111678).

The spelling of 106000111077 in words is "one hundred six billion, one hundred eleven thousand, seventy-seven".