105005011001 has 16 divisors (see below), whose sum is σ = 122422777920. Its totient is φ = 89004180480.

The previous prime is 105005010949. The next prime is 105005011009. The reversal of 105005011001 is 100110500501.

It is a cyclic number.

It is not a de Polignac number, because 105005011001 - 2¹⁸ = 105004748857 is a prime.

It is a super-2 number, since 2×105005011001² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105005011009) 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, 2603936 + ... + 2643953.

It is an arithmetic number, because the mean of its divisors is an integer number (7651423620).

Almost surely, 2^105005011001 is an apocalyptic number.

105005011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105005011001 is a deficient number, since it is larger than the sum of its proper divisors (17417766919).

105005011001 is a wasteful number, since it uses less digits than its factorization.

105005011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5248024.

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 105005011001 its reverse (100110500501), we get a palindrome (205115511502).

The spelling of 105005011001 in words is "one hundred five billion, five million, eleven thousand, one".