106667101 has 8 divisors (see below), whose sum is σ = 109026008. Its totient is φ = 104328000.

The previous prime is 106667081. The next prime is 106667107. The reversal of 106667101 is 101766601.

It can be written as a sum of positive squares in 4 ways, for example, as 37527876 + 69139225 = 6126^2 + 8315^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106667101 - 2¹⁷ = 106536029 is a prime.

It is a super-3 number, since 3×106667101³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a deceptive number, since it divides R_106667100.

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 106667101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106667107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6211 + ... + 15871.

It is an arithmetic number, because the mean of its divisors is an integer number (13628251).

Almost surely, 2^106667101 is an apocalyptic number.

It is an amenable number.

106667101 is a deficient number, since it is larger than the sum of its proper divisors (2358907).

106667101 is an equidigital number, since it uses as much as digits as its factorization.

106667101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9903.

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 106667101 is about 10327.9766169371. The cubic root of 106667101 is about 474.2530842967.

The spelling of 106667101 in words is "one hundred six million, six hundred sixty-seven thousand, one hundred one".