105235101 has 6 divisors (see below), whose sum is σ = 152006270. Its totient is φ = 70156728.

The previous prime is 105235073. The next prime is 105235127. The reversal of 105235101 is 101532501.

It can be written as a sum of positive squares in only one way, i.e., 105083001 + 152100 = 10251^2 + 390^2 .

It is not a de Polignac number, because 105235101 - 2⁹ = 105234589 is a prime.

It is a super-2 number, since 2×105235101² = 22148852964960402, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105230101) 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 5 ways as a sum of consecutive naturals, for example, 5846386 + ... + 5846403.

Almost surely, 2^105235101 is an apocalyptic number.

It is an amenable number.

105235101 is a deficient number, since it is larger than the sum of its proper divisors (46771169).

105235101 is a wasteful number, since it uses less digits than its factorization.

105235101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11692795 (or 11692792 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 105235101 is about 10258.4161058128. The cubic root of 105235101 is about 472.1212417762.

Adding to 105235101 its reverse (101532501), we get a palindrome (206767602).

The spelling of 105235101 in words is "one hundred five million, two hundred thirty-five thousand, one hundred one".