100506605001 has 32 divisors (see below), whose sum is σ = 151072542720. Its totient is φ = 58907352000.

The previous prime is 100506604987. The next prime is 100506605011.

100506605001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100506605001 - 2¹¹ = 100506602953 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100506605011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207321 + ... + 493958.

It is an arithmetic number, because the mean of its divisors is an integer number (4721016960).

Almost surely, 2^100506605001 is an apocalyptic number.

100506605001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100506605001 is a deficient number, since it is larger than the sum of its proper divisors (50565937719).

100506605001 is a wasteful number, since it uses less digits than its factorization.

100506605001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701437.

The product of its (nonzero) digits is 900, while the sum is 24.

It can be divided in two parts, 100506 and 605001, that added together give a palindrome (705507).

The spelling of 100506605001 in words is "one hundred billion, five hundred six million, six hundred five thousand, one".