105008001 has 8 divisors (see below), whose sum is σ = 160012224. Its totient is φ = 60004560.

The previous prime is 105007951. The next prime is 105008009. The reversal of 105008001 is 100800501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105008001 - 2⁷ = 105007873 is a prime.

It is a super-2 number, since 2×105008001² = 22053360548032002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105008009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2500170 + ... + 2500211.

It is an arithmetic number, because the mean of its divisors is an integer number (20001528).

Almost surely, 2^105008001 is an apocalyptic number.

It is an amenable number.

105008001 is a deficient number, since it is larger than the sum of its proper divisors (55004223).

105008001 is an equidigital number, since it uses as much as digits as its factorization.

105008001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000391.

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 105008001 is about 10247.3411673468. The cubic root of 105008001 is about 471.7813806700.

Adding to 105008001 its reverse (100800501), we get a palindrome (205808502).

The spelling of 105008001 in words is "one hundred five million, eight thousand, one".