100506006101105 has 16 divisors (see below), whose sum is σ = 138496314628800. Its totient is φ = 69248157312960.

The previous prime is 100506006101057. The next prime is 100506006101177. The reversal of 100506006101105 is 501101600605001.

It is not a de Polignac number, because 100506006101105 - 2⁶ = 100506006101041 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48088997090 + ... + 48088999179.

It is an arithmetic number, because the mean of its divisors is an integer number (8656019664300).

Almost surely, 2^{100506006101105} is an apocalyptic number.

It is an amenable number.

100506006101105 is a deficient number, since it is larger than the sum of its proper divisors (37990308527695).

100506006101105 is a wasteful number, since it uses less digits than its factorization.

100506006101105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96177996304.

The product of its (nonzero) digits is 900, while the sum is 26.

Adding to 100506006101105 its reverse (501101600605001), we get a palindrome (601607606706106).

The spelling of 100506006101105 in words is "one hundred trillion, five hundred six billion, six million, one hundred one thousand, one hundred five".