100105006001 has 16 divisors (see below), whose sum is σ = 134406722688. Its totient is φ = 72003600000.

The previous prime is 100105005997. The next prime is 100105006009. The reversal of 100105006001 is 100600501001.

It is a cyclic number.

It is not a de Polignac number, because 100105006001 - 2² = 100105005997 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100105006009) 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, 50001500 + ... + 50003501.

It is an arithmetic number, because the mean of its divisors is an integer number (8400420168).

Almost surely, 2^100105006001 is an apocalyptic number.

100105006001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100105006001 is a deficient number, since it is larger than the sum of its proper divisors (34301716687).

100105006001 is a wasteful number, since it uses less digits than its factorization.

100105006001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100005032.

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 100105006001 its reverse (100600501001), we get a palindrome (200705507002).

The spelling of 100105006001 in words is "one hundred billion, one hundred five million, six thousand, one".