106161101 has 2 divisors, whose sum is σ = 106161102. Its totient is φ = 106161100.

The previous prime is 106161079. The next prime is 106161137. The reversal of 106161101 is 101161601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 74407876 + 31753225 = 8626^2 + 5635^2 .

It is an emirp because it is prime and its reverse (101161601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106161101 is a prime.

It is a super-2 number, since 2×106161101² = 22540358731064402, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106161101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106161161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53080550 + 53080551.

It is an arithmetic number, because the mean of its divisors is an integer number (53080551).

Almost surely, 2^106161101 is an apocalyptic number.

It is an amenable number.

106161101 is a deficient number, since it is larger than the sum of its proper divisors (1).

106161101 is an equidigital number, since it uses as much as digits as its factorization.

106161101 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 17.

The square root of 106161101 is about 10303.4509267526. The cubic root of 106161101 is about 473.5019857359.

The spelling of 106161101 in words is "one hundred six million, one hundred sixty-one thousand, one hundred one".