106661131 has 12 divisors (see below), whose sum is σ = 110533896. Its totient is φ = 102913280.

The previous prime is 106661089. The next prime is 106661153. The reversal of 106661131 is 131166601.

It is not a de Polignac number, because 106661131 - 2¹³ = 106652939 is a prime.

It is a super-2 number, since 2×106661131² = 22753193732398322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106661096 and 106661105.

It is not an unprimeable number, because it can be changed into a prime (106661161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179571 + ... + 180163.

It is an arithmetic number, because the mean of its divisors is an integer number (9211158).

Almost surely, 2^106661131 is an apocalyptic number.

106661131 is a deficient number, since it is larger than the sum of its proper divisors (3872765).

106661131 is an equidigital number, since it uses as much as digits as its factorization.

106661131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 106661131 is about 10327.6875920992. The cubic root of 106661131 is about 474.2442363835.

The spelling of 106661131 in words is "one hundred six million, six hundred sixty-one thousand, one hundred thirty-one".