105018101 has 2 divisors, whose sum is σ = 105018102. Its totient is φ = 105018100.

The previous prime is 105018041. The next prime is 105018113. The reversal of 105018101 is 101810501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93122500 + 11895601 = 9650^2 + 3449^2 .

It is a cyclic number.

It is not a de Polignac number, because 105018101 - 2⁶ = 105018037 is a prime.

It is a super-2 number, since 2×105018101² = 22057603075292402, which contains 22 as substring.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 105018101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105018701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52509050 + 52509051.

It is an arithmetic number, because the mean of its divisors is an integer number (52509051).

Almost surely, 2^105018101 is an apocalyptic number.

It is an amenable number.

105018101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105018101 is an equidigital number, since it uses as much as digits as its factorization.

105018101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40, while the sum is 17.

The square root of 105018101 is about 10247.8339662584. The cubic root of 105018101 is about 471.7965059911.

Adding to 105018101 its reverse (101810501), we get a palindrome (206828602).

The spelling of 105018101 in words is "one hundred five million, eighteen thousand, one hundred one".