105005101006001 has 4 divisors (see below), whose sum is σ = 120005829721152. Its totient is φ = 90004372290852.

The previous prime is 105005101005947. The next prime is 105005101006019. The reversal of 105005101006001 is 100600101500501.

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 105005101006001 - 2²² = 105005096811697 is a prime.

It is a super-2 number, since 2×105005101006001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105005101006081) 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, 7500364357565 + ... + 7500364357578.

It is an arithmetic number, because the mean of its divisors is an integer number (30001457430288).

Almost surely, 2^{105005101006001} is an apocalyptic number.

It is an amenable number.

105005101006001 is a deficient number, since it is larger than the sum of its proper divisors (15000728715151).

105005101006001 is an equidigital number, since it uses as much as digits as its factorization.

105005101006001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15000728715150.

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 105005101006001 its reverse (100600101500501), we get a palindrome (205605202506502).

The spelling of 105005101006001 in words is "one hundred five trillion, five billion, one hundred one million, six thousand, one".