106110101 has 8 divisors (see below), whose sum is σ = 109884600. Its totient is φ = 102343360.

The previous prime is 106110097. The next prime is 106110119. The reversal of 106110101 is 101011601.

It can be written as a sum of positive squares in 4 ways, for example, as 26275876 + 79834225 = 5126^2 + 8935^2 .

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 106110101 - 2² = 106110097 is a prime.

It is a super-2 number, since 2×106110101² = 22518707068460402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106110181) 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 7 ways as a sum of consecutive naturals, for example, 48491 + ... + 50631.

It is an arithmetic number, because the mean of its divisors is an integer number (13735575).

Almost surely, 2^106110101 is an apocalyptic number.

It is an amenable number.

106110101 is a deficient number, since it is larger than the sum of its proper divisors (3774499).

106110101 is a wasteful number, since it uses less digits than its factorization.

106110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879.

The product of its (nonzero) digits is 6, while the sum is 11.

The square root of 106110101 is about 10300.9757304830. The cubic root of 106110101 is about 473.4261498316.

Adding to 106110101 its reverse (101011601), we get a palindrome (207121702).

The spelling of 106110101 in words is "one hundred six million, one hundred ten thousand, one hundred one".