105006001101 has 16 divisors (see below), whose sum is σ = 141927436800. Its totient is φ = 69048131328.

The previous prime is 105006001043. The next prime is 105006001109. The reversal of 105006001101 is 101100600501.

It is not a de Polignac number, because 105006001101 - 2⁷ = 105006000973 is a prime.

It is a super-2 number, since 2×105006001101² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105006001109) 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, 371581 + ... + 589986.

It is an arithmetic number, because the mean of its divisors is an integer number (8870464800).

Almost surely, 2^105006001101 is an apocalyptic number.

It is an amenable number.

105006001101 is a deficient number, since it is larger than the sum of its proper divisors (36921435699).

105006001101 is an equidigital number, since it uses as much as digits as its factorization.

105006001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962068.

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 105006001101 its reverse (101100600501), we get a palindrome (206106601602).

The spelling of 105006001101 in words is "one hundred five billion, six million, one thousand, one hundred one".