105001005 has 32 divisors (see below), whose sum is σ = 173418624. Its totient is φ = 54210816.

The previous prime is 105000997. The next prime is 105001007. The reversal of 105001005 is 500100501.

It is not a de Polignac number, because 105001005 - 2³ = 105000997 is a prime.

It is a super-2 number, since 2×105001005² = 22050422102020050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153394 + ... + 154076.

It is an arithmetic number, because the mean of its divisors is an integer number (5419332).

Almost surely, 2^105001005 is an apocalyptic number.

105001005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105001005 is a deficient number, since it is larger than the sum of its proper divisors (68417619).

105001005 is a wasteful number, since it uses less digits than its factorization.

105001005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005.

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

The square root of 105001005 is about 10246.9998048209. Note that the first 3 decimals coincide. The cubic root of 105001005 is about 471.7709031959.

Adding to 105001005 its reverse (500100501), we get a palindrome (605101506).

The spelling of 105001005 in words is "one hundred five million, one thousand, five".