105005101 has 4 divisors (see below), whose sum is σ = 106024672. Its totient is φ = 103985532.

The previous prime is 105005099. The next prime is 105005111. The reversal of 105005101 is 101500501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105005101 - 2¹ = 105005099 is a prime.

It is a super-2 number, since 2×105005101² = 22052142472040402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 509631 + ... + 509836.

It is an arithmetic number, because the mean of its divisors is an integer number (26506168).

Almost surely, 2^105005101 is an apocalyptic number.

It is an amenable number.

105005101 is a deficient number, since it is larger than the sum of its proper divisors (1019571).

105005101 is a wasteful number, since it uses less digits than its factorization.

105005101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019570.

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 105005101 is about 10247.1996662503. The cubic root of 105005101 is about 471.7770375768. Note that the first 3 decimals are identical.

Adding to 105005101 its reverse (101500501), we get a palindrome (206505602).

The spelling of 105005101 in words is "one hundred five million, five thousand, one hundred one".