106682736141 has 12 divisors (see below), whose sum is σ = 158262077532. Its totient is φ = 69199612416.

The previous prime is 106682736133. The next prime is 106682736151. The reversal of 106682736141 is 141637286601.

106682736141 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 8 + 27 + 3 + 614 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103150811241 + 3531924900 = 321171^2 + 59430^2 .

It is not a de Polignac number, because 106682736141 - 2³ = 106682736133 is a prime.

It is a super-2 number, since 2×106682736141² (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 (106682736151) 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, 160183956 + ... + 160184621.

It is an arithmetic number, because the mean of its divisors is an integer number (13188506461).

Almost surely, 2^106682736141 is an apocalyptic number.

It is an amenable number.

106682736141 is a deficient number, since it is larger than the sum of its proper divisors (51579341391).

106682736141 is a wasteful number, since it uses less digits than its factorization.

106682736141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320368620 (or 320368617 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 106682736141 in words is "one hundred six billion, six hundred eighty-two million, seven hundred thirty-six thousand, one hundred forty-one".