106106101 has 2 divisors, whose sum is σ = 106106102. Its totient is φ = 106106100.

The previous prime is 106106093. The next prime is 106106111. The reversal of 106106101 is 101601601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96334225 + 9771876 = 9815^2 + 3126^2 .It is also a bemirp because it and its reverse can be mirrored producing other two distinct primes, 101901901 and 109109101.

It is a cyclic number.

It is not a de Polignac number, because 106106101 - 2³ = 106106093 is a prime.

It is a super-2 number, since 2×106106101² = 22517009338844402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106106111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53053050 + 53053051.

It is an arithmetic number, because the mean of its divisors is an integer number (53053051).

Almost surely, 2^106106101 is an apocalyptic number.

It is an amenable number.

106106101 is a deficient number, since it is larger than the sum of its proper divisors (1).

106106101 is an equidigital number, since it uses as much as digits as its factorization.

106106101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 106106101 is about 10300.7815722886. The cubic root of 106106101 is about 473.4202008899.

Adding to 106106101 its reverse (101601601), we get a palindrome (207707702).

The spelling of 106106101 in words is "one hundred six million, one hundred six thousand, one hundred one".