106906681 has 12 divisors (see below), whose sum is σ = 124615908. Its totient is φ = 91446432.

The previous prime is 106906663. The next prime is 106906699. The reversal of 106906681 is 186609601.

It is an interprime number because it is at equal distance from previous prime (106906663) and next prime (106906699).

It can be written as a sum of positive squares in 2 ways, for example, as 45441081 + 61465600 = 6741^2 + 7840^2 .

It is not a de Polignac number, because 106906681 - 2¹⁵ = 106873913 is a prime.

It is a super-2 number, since 2×106906681² = 22858076884871522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106906681.

It is not an unprimeable number, because it can be changed into a prime (106906601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25335 + ... + 29251.

It is an arithmetic number, because the mean of its divisors is an integer number (10384659).

Almost surely, 2^106906681 is an apocalyptic number.

It is an amenable number.

106906681 is a deficient number, since it is larger than the sum of its proper divisors (17709227).

106906681 is an equidigital number, since it uses as much as digits as its factorization.

106906681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4488 (or 4481 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 106906681 is about 10339.5687047381. The cubic root of 106906681 is about 474.6078847058.

It can be divided in two parts, 10690 and 6681, that added together give a palindrome (17371).

The spelling of 106906681 in words is "one hundred six million, nine hundred six thousand, six hundred eighty-one".