105005001 has 16 divisors (see below), whose sum is σ = 151361600. Its totient is φ = 64525248.

The previous prime is 105004993. The next prime is 105005009. The reversal of 105005001 is 100500501.

It is an interprime number because it is at equal distance from previous prime (105004993) and next prime (105005009).

It is not a de Polignac number, because 105005001 - 2³ = 105004993 is a prime.

It is a super-2 number, since 2×105005001² = 22052100470020002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22786 + ... + 27003.

It is an arithmetic number, because the mean of its divisors is an integer number (9460100).

Almost surely, 2^105005001 is an apocalyptic number.

It is an amenable number.

105005001 is a deficient number, since it is larger than the sum of its proper divisors (46356599).

105005001 is a wasteful number, since it uses less digits than its factorization.

105005001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49848.

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 105005001 is about 10247.1947868673. The cubic root of 105005001 is about 471.7768878136.

Adding to 105005001 its reverse (100500501), we get a palindrome (205505502).

It can be divided in two parts, 10500500 and 1, that added together give a palindrome (10500501).

The spelling of 105005001 in words is "one hundred five million, five thousand, one".