106286128767 has 48 divisors (see below), whose sum is σ = 195468786240. Its totient is φ = 54129793536.

The previous prime is 106286128703. The next prime is 106286128787. The reversal of 106286128767 is 767821682601.

106286128767 is a `hidden beast` number, since 1 + 0 + 628 + 6 + 1 + 2 + 8 + 7 + 6 + 7 = 666.

It is not a de Polignac number, because 106286128767 - 2⁶ = 106286128703 is a prime.

It is a super-2 number, since 2×106286128767² (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 (106286128787) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2213758 + ... + 2261259.

It is an arithmetic number, because the mean of its divisors is an integer number (4072266380).

Almost surely, 2^106286128767 is an apocalyptic number.

106286128767 is a deficient number, since it is larger than the sum of its proper divisors (89182657473).

106286128767 is a wasteful number, since it uses less digits than its factorization.

106286128767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4475072 (or 4475069 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 106286128767 in words is "one hundred six billion, two hundred eighty-six million, one hundred twenty-eight thousand, seven hundred sixty-seven".