105130101 has 16 divisors (see below), whose sum is σ = 142084800. Its totient is φ = 69138048.

The previous prime is 105130099. The next prime is 105130121. The reversal of 105130101 is 101031501.

It is not a de Polignac number, because 105130101 - 2¹ = 105130099 is a prime.

It is a super-2 number, since 2×105130101² = 22104676272540402, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105130121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72855 + ... + 74283.

It is an arithmetic number, because the mean of its divisors is an integer number (8880300).

Almost surely, 2^105130101 is an apocalyptic number.

It is an amenable number.

105130101 is a deficient number, since it is larger than the sum of its proper divisors (36954699).

105130101 is a wasteful number, since it uses less digits than its factorization.

105130101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748.

The product of its (nonzero) digits is 15, while the sum is 12.

The square root of 105130101 is about 10253.2970794764. The cubic root of 105130101 is about 471.9641673578.

Adding to 105130101 its reverse (101031501), we get a palindrome (206161602).

The spelling of 105130101 in words is "one hundred five million, one hundred thirty thousand, one hundred one".