106367131 has 16 divisors (see below), whose sum is σ = 117319104. Its totient is φ = 95831424.

The previous prime is 106367089. The next prime is 106367141. The reversal of 106367131 is 131763601.

It is not a de Polignac number, because 106367131 - 2⁹ = 106366619 is a prime.

It is a super-2 number, since 2×106367131² = 22627933114342322, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106367131.

It is not an unprimeable number, because it can be changed into a prime (106367141) 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 15 ways as a sum of consecutive naturals, for example, 218170 + ... + 218656.

It is an arithmetic number, because the mean of its divisors is an integer number (7332444).

Almost surely, 2^106367131 is an apocalyptic number.

106367131 is a deficient number, since it is larger than the sum of its proper divisors (10951973).

106367131 is a wasteful number, since it uses less digits than its factorization.

106367131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870.

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 106367131 is about 10313.4441870793. Note that the first 3 decimals coincide. The cubic root of 106367131 is about 473.8081009120.

The spelling of 106367131 in words is "one hundred six million, three hundred sixty-seven thousand, one hundred thirty-one".